Solutions of system of Volterra integro-differential equations using optimal homotopy asymptotic method
Agarwal P. Akbar M. Nawaz R. Jleli M.
February 2021John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2021#44Issue 32671 - 2681 pp.
In this paper, a powerful semianalytical method known as optimal homotopy asymptotic method (OHAM) has been formulated for the solution of system of Volterra integro-differential equations. The effectiveness and performance of the proposed technique are verified by different numerical problems in the literature, and the obtained results are compared with Sinc-collocation method. These results show the reliability and effectiveness of the proposed method. The proposed method does not require discretization like other numerical methods. Moreover, the convergence region can easily be controlled. The use of OHAM is simple and straightforward.
approximate solutions , optimal homotopy asymptotic method , system of Volterra integro-differential equations
Text of the article Перейти на текст статьи
International Center for Basic and Applied Sciences, Jaipur, India
Anand International College of Engineering, Jaipur, India
Harish-Chandra Research Institute (HRI), Allahbad, India
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Pakistan
Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
International Center for Basic and Applied Sciences
Anand International College of Engineering
Harish-Chandra Research Institute (HRI)
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026