Solution of Special type of Integro Differential equation by Laplace Decomposition Method
Keywords:
Integro-Differential Equations, Laplace decomposition method, Adomian PolynomialsAbstract
This article focuses on a specific class of integro-differential equations and their solutions. A. Ansari et al., in J. Appl. Math. & Informatics utilized the series solution method to derive the approximate numerical solution for Volterra integro differential equations. In this study, we apply the Laplace decomposition method to these equations, exploring both analytic and approximate solutions. Furthermore, we present a comparative analysis of the exact and approximate solutions for some problems.
References
G. Adomian, Solving frontier problems of physics: the decomposition method, Springer Science & Business Media, 60, (2013).
W. Chen, Z. Lu, An Algorithm for Adomian Decomposition Method, Applied Mathematics and Computation, 159, 221-235, (2004).
D.J. Evans, K.R. Raslan, The Adomian Decomposition Method for Solving Delay Differential Equation, International Journal of Computer Mathematics, 82, 9-54, (2005).
