Approximate Solutions for Systems of Volterra Integro-differential Equations Using Laplace –Adomian Method
Firas Salem Ahmed
Abstract
Open-access reader
Firas Salem Ahmed
Abstract
Open-access reader
Some modified techniques are used in this article in order to have approximate solutions for systems of Volterra integro-differential equations. The suggested techniques are the so called Laplace-Adomian decomposition method and Laplace iterative method. The proposed methods are robust and accurate as can be seen from the given illustrative examples and from the comparison that are made with the exact solution.
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Some modified techniques are used in this article in order to have approximate solutions for systems of Volterra integro-differential equations. The suggested techniques are the so called Laplace-Adomian decomposition method and Laplace iterative method. The proposed methods are robust and accurate as can be seen from the given illustrative examples and from the comparison that are made with the exact solution.
Key concepts: Adomian decomposition method, Laplace transform, Mathematics, Applied mathematics, Differential equation, Decomposition method (queueing theory), Volterra equations, Volterra integral equation