Solutions of system of Volterra integro‐differential equations using optimal homotopy asymptotic method

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 th...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 44; no. 3; pp. 2671 - 2681
Main Authors Agarwal, Praveen, Akbar, Muhammad, Nawaz, Rashid, Jleli, Mohamed
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 01.02.2021
Subjects
approximate solutions
Asymptotic methods
Collocation methods
Differential equations
Numerical methods
optimal homotopy asymptotic method
system of Volterra integro‐differential equations
Volterra integral equations
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Summary: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6783