Vaqif Ibrahimov

Vaqif İbrahimov (tam adı: Vaqif İbrahimov Rza oğlu; 9 may 1947, Cəhri, Naxçıvan rayonu) — AMEA-nın müxbir üzvü (2017), Fizika-riyaziyyat elmləri doktoru,^[1] Azərbaycan Respublikasının əməkdar müəllimi (30.09.2009).^[2]

Vaqif İbrahimov
Vaqif Rza oğlu İbrahimov
Vaqif İbrahimov
Doğum tarixi	9 may 1947 (77 yaş)
Doğum yeri	Cəhri, Babək rayonu, Naxçıvan MSSR, Azərbaycan SSR, SSRİ
Vətəndaşlığı	SSRİ→ Azərbaycan
Elm sahəsi	riyaziyyat
Elmi dərəcəsi	fizika-riyaziyyat elmləri doktoru
Elmi adı	professor
İş yeri	Bakı Dövlət Universitetinin Mexanika-riyaziyyat fakültəsi
Təhsili	Azərbaycan Dövlət Universitetinin Mexanika-riyaziyyat fakültəsi
Mükafatları	2009

Vaqif Rza oğlu İbrahimov 9 may 1947-ci ildə Naxçıvanın Cəhri kəndində anadan olmuşdur. O, hesablama riyaziyyatı sahəsində tanınmış alimdir. Onun tədqiqat sahəsi yüksək tərtib törəmələrdən istifadə edən Obreşkov tipli çoxaddımlı üsullardan və bu üsulların adi diferensial, inteqral və inteqro-diferensial tənliklərin həllinə tətbiqindən ibarətdir.

Fizika-riyaziyyat elmləri doktoru V.R.İbrahimov irəliyə qaçma, ekstrapolyasiya və interpolyasiya üsullarını ümumi formada tədqiq etmək məqsədi ilə Obreşkov tipli dayanıqlı k- addımlar üsulunun dəqiqlik tərtiblərinin ən böyük qiymətlərinin hesablanılması üçün bir neçə düstur qurmuş və bu düsturların effektivliyini göstərmişdir. O, irəliyə qaçma üsullarının istifadəsi üçün proqnoz-korreksiya tipli üsullar qurmuş və bu üsulların yığılması üçün kafi şərtləri müəyyənləşdirmişdir. Dayanıqlı irəliyə qaçma üsullarının digər üsullara nisbətən daha dəqiq olması V.R.İbrahimov tərəfindən isbat olunmuş və bu şərtləri ödəyən konkret üsullar qurulmuşdur. O, Riçardson ekstrapolyasiya üsulundan bir dəfə istifadə etdikdə, çoxaddımlı üsulun dəqiqliyinin artmasının yuxarı sərhəddini müəyyənləşdirmiş və bu məqsədlə üsulun xətası üçün xüsusi asimptotik münasibət almışdır. Daha dəqiq üsulların qurulması üçün V.R.İbrahimov hibrid üsulların qurulmasını təklif etmiş, birinci və ikinci tərtib adi diferensial tənliklərin həlli üçün hibrid üsullar qurmuş və onları tədqiq etmişdir.

V.R.İbrahimov Volter tipli inteqral tənliklərin həlli üçün hər addımda inteqral nüvəsinin sabit sayda hesablanmasından istifadə edən çoxaddımlı üsullar qurmuş və bu üsulların yığılması üçün kafi şərtlər tapmışdır. Bu üsulların Volter tipli inteqral tənliklərin həllində yeni istiqamət olduğunu nəzərə alaraq,o, çoxaddımlı və hibrid üsulların kəsişməsində yerləşən üsullar qurmuş və bu üsulları Volter tipli inteqral və inteqro-diferensial tənliklərin həllinə tətbiq etmişdir.

V.R.İbrahimov xüsusi test tənliklərinin köməyi ilə Volter tipli inteqral və inteqro-diferensial tənliklərin həlli üçün geniş dayanıqlıq oblastına malik üsullar qurmuşdur.

Həmçinin simmetrik üsullar qurmuşdur, hansi ki, onlari simmetrik sərhədli Volter tipli inteqral tənliklərin həllinə tətbiq etmişdir. Daha yüksək dəqiqliyə və genişlənmiş dayaniqliq oblastina malik ,dayaniqli üsullarin qurulması və onların ADT-in,Volter tipli inteqral və inteqro-diferensial tənliklərin həllinə tətbiqi məqsədi ilə V.R.İbrahimov hibrid üsullardan və irəliyə qaçma üsullarindan istifadə etmişdir.

V.R.İbrahimov PCI2010 Arxivləşdirilib 2018-03-11 at the Wayback Machine и PCI2012 Arxivləşdirilib 2014-12-02 at the Wayback Machine, International conference dedicated to the 85th anniversary of Professor Yahya Mamedov,The 5th International Conference on Control and Optimization with Industrial Applications Arxivləşdirilib 2017-09-12 at the Wayback Machine  və The 6th International Conference on Control and Optimization with Industrial Applications kimi bir sıra konfranslarin təşkilat komitəsinin üzvlərindən olmuşdur.

• 2006- h/h, professor, Hesablama riyaziyyatı kafedrası^[3], Mexanika-riyaziyyat fakültəsi, BDU
• 2004-2011, prorektor, BDU
• 1985-2006, dosent, Hesablama riyaziyyatı kafedrası, Mexanika-riyaziyyat fakültəsi, BDU
• 1982-1985, baş müəllim, Hesablama riyaziyyatı kafedrası, Mexanika-riyaziyyat fakültəsi, BDU 
• 1975-1982, assistent, Hesablama riyaziyyatı kafedrası, Mexanika-riyaziyyat fakültəsi, BDU
• 1972-1975,aspirant,Mexanika-riyaziyyat fakültəsi,BDU
• 1970-1972, ordu sıralarında həqiqi hərbi xidmət
• 1969-1970, laborant, Hesablama riyaziyyatı kafedrası, Mexanika-riyaziyyat fakültəsi, BDU

• 2014    Azərbaycan Respublikası Prezidenti yanında Elmin inkişafi fondu, Azerbaycan Respulikasının Rəbitə və İnformasiya Texnologiyaları Nazirliyi və UNESCO üzrə Azerbaycan Respulikasının Milli Komissiyası tərəfindən verilmiş diplom ( İKT sahəsində dərc olunmuş ən yaxşı elmi işlərə görə mükafat müsabiqədində II yer tutduqlarına görə təltif olunmuşdur).
• 2011-2014 Azərbaycan Respublikası Prezidenti yanında Elmi inkişaf fondu tərəfindən verilmiş Grand.
• 2011 Beynalxalq İASHE London təşkilatı tərəfindən verilmiş “Elmin infişafı” diplomu.
• 2009 Azərbaycan Respublikasının əməkdar müəllimi^[4].

1.    On some properties of Richardson's extrapolation. Dif. equation. № 12, 1990
2.    About one relationship between the order and the degree of for stable formula with forward-jumping. J. Compute. Mat. and Mat. Fiz. 1990.№ 7
3.      On the maximal degree of the k-step Obrechkoff’s method. Bulletin of Iranian Mathematical Sociaty.^[5] Vol.28, №1, 2002.
4.      On one application of forward jumping methods. Applied Numerical Mathematics^[6]. Volume 72, October 2013  
5.    Application of the hybrid method with constant coefficients to solving the integro-differential equations of first order. World Congress: 9th International conference on mathematical problems in engineering, aerospace and sciences, Vienna, Austria, 10-14 July  2012.
6.      The application of the hybrid method to solving the Volterra integro-differential equation^[7]. World Congress on Engineering 2013, London, U.K., 3-5 July, 2013.
7.    On the research of multi-step methods with constant coefficients. Monograph / LAP LAMBERT Academic Publishing^[8], 2013
8. Об одном численном методе для решения дифференциальных уравнений высших порядков. Ученые записки Азгос-университета сер.физ-мат. наук,1969, с. 74-77.
9. Применение одного численного метода к решению дифференциальных уравнений высших порядков. ДАН Азерб. ССР, 1971, c.9-12
10. Об одном численном методе для решения дифференциальных уравне-ний первого порядка. Вопросы прикладной математики и кибернетики, 1974, с.49-56
11. К теории численных решений обыкновенных дифференциальных урав. Деп. в ВИНИТИ 13.12.73 № 310-74 1975 28С.
12. Применение <<К-шагового>> метода к численному решению задачи Коши для обыкновенных дифференциальных уравнений второго порядка. Респуб. Конф. молодых ученых по математике и механике, Баку, Аккадемия Наук, 1976, с.100-103

Связь между порядком и степенью устойчивой разностной формулыю Уч. записки Азгосуниверсите

1. The estimation on k-step method under weak assumptions on the solution of the given problem. Procceding of the XI-international conference on nonlinear uscillation: augst 7.23.1987 Budabest, 1988, p.543-546
2. On the maximal value of the degree for the forward-jumping methods. proceeedings of the first joint seminar on applied mathematics University of Zanjan & Baku State Universty, Zanjan Iran October 4-6, 1995, p.1-4
3. On the properties of sOme coefficIents in the k-step Obrechoff's method. The Second World Congress of Nonlinear Analysis, OFFICAL, Program, July 10-17, 1996,Athens, Greece,p.54
4. On the new properties of the forward-jumoing method for solving ODEs. Contributed Abstracts for thr 17th Dundee Numerical Analysis Conference, June 24-27-1997.
5. On the maximal degree of the k-step Obrechkoff's method. Bulletin of Iranian Mathematical Sociaty, Vol.28,№11,2002,p.1-28
6. On the forward jumping mehods. Transactins of NAS of Azerbaijan, 2004, v.XXIV, №1,P.251-256
7. On the stability region for the forward jumping methods. Transcations issue mathematics and mechanics series of physical-tecnical and mathematicak science, 2005, №14, p.163-170
8. On some connections between Runge-Kutta and Adams methods. Transactions issue mathematics and mechanics series of physical-technical and mathematical science, 2005,№15,p/55-62
9. On a new method of solition to Volterra integral equation. Transacations issue mathematicd and mechnics series of physical technical and mathematical science, XXVII,2997,1,p.197-204
10. Application of the forward jumping Method to the solving of Volterra integral equation. Conference in Numerical Analysis, Chania, Crete, Greece.2010,p.106-111
11. On an application of a multisped method for solving Volterra integral equations of the second kind. The 2010 International Conference on Theoreticak and Marhematical Foundations of Computer Science, Orlando, USA,p.46-50
12. Application of hybrid methods to the solation of Volterra integral equation. The Third international Conference on Theoretical and Mathematical Foundations of Camputer Science, Orlando, USA, p.247-250
13. On the numerical solution of integro-differential equation. The Third international Conference "Problems of Cybernetics and iformatics", Baku Azerbaijan, 2010, p.251-254
14. Application of multi step methods to the solving second order ordinary differental equaltion. The Third international Conference "Problems of Cybernetics and iformatics", Baku Azerbaijan, 2010, p.255-258
15. Construction of a second derivative one-step method of fourth order accuracy and its application to the solution of volterra integral equation of second kind. The Third international Conference "Problems of Cybernetics and iformatics", Baku Azerbaijan, 2010, p.300-303
16. Research of a multisped method applied to numerical solution of volterra integro-differential equation. World Acedemy of Science, engineering and Technology, Amsterdam 2010,p.349-352
17. Application of hybrid methods to the solation of Volterra integral equations. World Acedemy of Science, engineering and Technology, Paris, 201, p.1197-1201
18. On one generalization of hybrid method. Proceedings of the 4th international conference on approximation methods and numericak modelling in environment and natural resources Saidia, Morocco, may 23-26, 2011, з.543-547
19. On a way for constructing hybrd methods. Сб. матер. VIII межд. научно-практ. конф. <<Пространство и время-система координат развития человечества>>, (Киев, Лондон,25.08.-01.09.2011),с.91-95
20. On an application of hybrid method to solving second ordinary differential equations. The international conference on applied mathematics, modeling And compu-tational science Waterloo, Canada, July 25-29,2011, p.363
21. Application of the hybrid methods to solving Volterra Integro-differential equations. World Acedemy of Science, engineering and Technology, Paris, 2011,p.240-243to solvin
22. On an application of hybrid method for solving Volterre Integro-differential equations. World Acedemy of Science, engineering and Technology, Dubai, 2012,p.1197-1201
23. Application of a Second Derivative Multi-Step Method to Numerical Solution of volterra Integral Equaltion of Second Kind. Pakistan Journal of Statistics and Operation Research. Vol. VIII No.2 2012 pp245-258, 2012 Elsevier
24. On one app;ication of forwaed jumping methods. In Press, Corrected Proof, available online 12 October 2011, Applied Numerical MAhematics, 2012 Elsevier
25. General hybrid method in the numerical solution for ODE of first and second order. Recent Advances in Applied Mathematics and Computational Methods in Engineering, AMCME 2013, Rhodes Island, Greece, July 16-19, 2013. (ISI,Thomson Reuters)
26. Hybrid methods for solving Volterra integral equations. Journal of Concrete and Applicable Mathematics, USA, Volume 11, Number 2, April 2013.
27. On one application of forward jumping methods. Applied Numerical Mathematics Volume 72, October 2013 (ISI,Thomson Reuters)
28. A way to construct an algorithm that uses hybrid methods. Applied Mathematical Sciences, HIKARI Ltd, Vol. 7, 2013, no. 98. (Scopus)
29. On a Research of Hybrid Methods. Numerical Analysis and Its Application Springer, 2013 (ISI,Thomson Reuters)
30. Solving Volterra Integro-Differential Equations by the Hybrid Methods. Pensee Journal, Paris, Vol. 75, Issue. 9, 2013.

(ISI,Thomson Reuters)

1. The Application Difference Methods to Solving Volterra Integral Equation. Pensee Journal, Paris, Vol. 75, Issue. 111, 2013. (ISI,Thomson Reuters)
2. Compares of Some Algorithms by Using First and Second Derivative Multistep Methods. International journal of applied mathematics and informatics, Volume 7, 2013. (Scopus)
3. A method for solving nonlinear Volterra integral equations. Advances in Dynamical Systems and Applications, volume 8, number 2, 2013.
4. On the application of hybrid methods to solving Volterra integro-differential equation. International Journal of Mathematics & Computation
5. Some advantages of the hybrid methods, which used the first derivative of the solution of the considered problem. Recent Advances in Mathematics, Statistics and Economics. PM-AM’14; ES’14. Venice. Italy March 15-17, 2014
6. Numerical Methods to Solving of Volterra Integro-Differential Equations . Journal of Applied Functional Analysis, volume 8, number 2, 2014.
7. An application of the hybrid method

of multistep type. Advances in Applied and Pure mathematics, Proceedings of 2 Intern.Conf. on Math.Comp and Aqtatist.Science (MCSS), 2014

1. Some application of the hybrid methods to solving Volterra integral equations. Advances in Applied and Pure mathematics, Proceedings of 2 Intern.Conf. on Math.Comp and Aqtatist.Science (MCSS), 2014
2. On a Research of Symmetric Equations of Volterra Type. International journal of mathematical models and methods in Applied sciences Volume 8, 2014 (Scopus)
3. A research of the symmetric hybrid methods. International Conference, ICAT’14, August 12-15, 2014, Antalya, Turkey
4. Hybrid methods for solving nonlinear ODE of the first order. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014) AIP Conf. Proc. 1648, © 2015 AIP Publishing LLC (ISI,Thomson Reuters)
5. The application of second derivative methods to solving Volterra integro-differential equations. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014) AIP Conf. Proc. 1648, © 2015 AIP Publishing LLC (ISI,Thomson Reuters)
6. On the application of multistep methods to solving some problems of communication. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014) AIP Conf. Proc. 1648, © 2015 AIP Publishing LLC (ISI,Thomson Reuters)
7. The construction of the finite-difference method and application. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014) AIP Conf. Proc. 1648, © 2015 AIP Publishing LLC (Thomson Reuters
8. Solving Volterra Integro-Differential Equation by the Second Derivative Methods. Applied Mathematics and Information Sciences, Volume 9, No. 5, Sep. 2015, (Thomson Reuters, IF-1.23)
9. Application of hybrid methods to solving Volterra integral equation with the fixed boundares. International journal of advance research and innovative ideas in education, volume-1, issue-5, 2015 (Thomson Reuters, ResercherİD,) (IF – 4.06)
10. An Application of Mathematical Methods for Solving of Scientific Problems. British Journal of Applied Science & Technology2016 - Volume 14 , issue 2,
11. A way for constructing hybrid methods with high order of accuracy and their application to solving of ode of first order. International Journal of Current Research, Volume 7, Issue 08, August, 2015, (Thomson Reuters, ResercherİD, Endnote)(IF –5.349)
12. The hybrid methods are 60 years in the scientific works. Mathematical Models and Computational Methods, Greece 2015
13. Some refinement of the conception of symmetry of Volterra integral equations and constructing symmetrical methods for solving them. Recent Advances in Mathematics, Greece 2015
14. About some communications between methods of applications to the solving ODE and integral equations of Volterra type. Recent Advances in Mathematics, Greece 2015
15. General Theory of the Application of Multistep Methods to Calculation of the Energy of Signals. Wireless Communications, Networking and Applications

Volume 348 of the series Lecture Notes in Electrical Engineering, Springer (Thomson Reuters) 2016

1. Some recommendation for definition of symmetry of the multistep methods. The 5th International Conference on Control and Optimization with Industrial Applications, 27-29 August, 2015, Baku, Azerbaijan
2. Some refinement of the notion of symmetry for the Volterra integral equations and the construction of symmetrical methods to solve them. Journal of Computational and Applied Mathematics, 306 (2016) (Thomson Reuters, IF-1.33)
3. John Butcher and hybrid methods. International conference of numerical analysis and applied mathematics, 2017
4. İnvestigation of the initial-value problem for the Volterra integro-differential equations with the special structure. International Journal of Modern Communication Technologies & Research (IJMCTR) ISSN: 2321- 0850, Volume-5, Issue-8, August2017
5. A Way to Construct a Hybrid Forward jumping method. IOP Conference Series: Materials Science and Engineering, 225,2017.
6. One a way for Constructing hybrid Methods with the Constant Coefficients and their Applied. IOP Conference Series: Materials Science and Engineering, 225,2017.
7. Solution of the Volterra integrodiferential equation by multi-step methods. Bakı Universitetinin xəbərləri.N1,səh.5-14,2017
8. Some Comparisons of the Methods Applied to Solving the First Order Integro-Differential Equations. IOP Conf. Series: Materials Science and Engineering 423 (2018) 012155
9. On the construction of the forüard-jumping method and its application to solving of the Volterra integral equations with symmetric boundaries. Wseas transactions on mathematics Volume 16, 2017
10. A way for finding the relation between of the degree and order for multistep method used to applied to solving of the Volterra integro-differential equation. Wseas transactions on mathematics Volume 17, 2018
11. The construction the new way for the solving of the Volterra integral equations with the symmetric boundaries. International journal of mathematical models and methods in apllied sciences Volume 11, 2017
12. On a one method for determining the maximum value of the order of the accuracy for the multistep hybrid method which have applied to solving of the Volterra integrodifferential equation of the first order. AIP Conference Proceedings 1982, 020022 (2018); doi: 10.1063/1.5045428
13. One relationship between Volterra integro-differential and ordinary differential equations məqalə AIP Conference Proceedings 2019
14. On the comparison of the implicit advanced and hybrid methods and their application to solving Volterra inteqro-differential equations. INTERNATIONAL JOURNAL OF EDUCATION AND INFORMATION TECHNOLOGIES Том: 13 Стр.: 79-84 2019

On the constraction of the advvanced Hybirid Methods and application to Solving Volterra İntegral Eguations məqalə Wseas transactions on systems and control Volume 14, 2019

1. On the Construction of the Multistep Methods to Solving the Initial-Value Problem for ODE and the Volterra IntegroDifferential Equations. IAPE '19, Oxford, United Kingdom ISBN: 978-1-912532- 05-6 2019
2. On a calculation of definite integrals by using of the calculation of indefinite integrals. SN Applied Sciences Springer Nature Sciences 2019
3. Application of the Finite Differences Methods to Computation of Definite Integrals. WSEAS TRANSACTIONS on SYSTEMS DOI: 10.37394/23202.2020.19.1, Baku, AZERBAIJAN, 2020
4. APPLICATION OF HYBRID METHODS TO SOLVING INITIAL-VALUE PROBLEM FOR THE ODES OF THE SECOND ORDER. CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS 26-28 August, 2020 Baku, Azerbaijan
5. On some comparison of multistep second derivative methods with the multistep hybrid methods and their application to solve integro-differential equations. MMCTSE 2020
6. On The Computation Of Double Integrals By Using Some Connection Between The Wave Equation And The System Of ODE. IAPE 2020, Second Edition of the International Conference on Innovative Applied Energy ISBN: 978-1-912532-18-6
7. Novel symmetric numerical methods for solving symmetric mathematical problems. İnternational Journal of circuits,systems and signal processing, 2021 Volume 15
8. Multistep Methods of hybirid type and their appıication to solve the second kind Volterra İntegral Equations. Symmetry-2021,Volume 13