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- Title
Numerical Investigation with Convergence and Stability Analyses of Integro-Differential Equations of Second Kind.
- Authors
Ullah, Saif; Amin, Faiza; Ali, Muzaher
- Abstract
In this paper, integro-differential equations are solved by using an efficient numerical technique, namely, Multistage Optimal Homotopy Asymptotic method. The existence and uniqueness of solutions are established by the application of Lipschitz condition. Convergence of approximate solutions along with stability are also carried out. Some examples are solved to highlight the vital characteristics of the applied numerical scheme. Error estimation and comparison of derived results with existing exact solutions and those results which already available in the literature through graphical illustrations and tables reveal that Multistage Optimal Homotopy Asymptotic algorithm is more efficient and fruitful.
- Subjects
INTEGRO-differential equations; ALGORITHMS
- Publication
International Journal of Computational Methods, 2024, Vol 21, Issue 3, p1
- ISSN
0219-8762
- Publication type
Article
- DOI
10.1142/S0219876223500366