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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Published in | Mathematical methods in the applied sciences Vol. 44; no. 3; pp. 2671 - 2681 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Freiburg
Wiley Subscription Services, Inc
01.02.2021
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0170-4214 1099-1476 |
DOI: | 10.1002/mma.6783 |