Solving Linear Second Kind Non-Homogenous Volterra Integral Equations By Numerical Methods VIM, ADM And TSM

Objectives: For the purpose of evaluating and determining the solution of the integral equations, various numerical methods is used to obtain the optimum solution of such equations. Methods: We developed numerical methods VIM, ADM and TSM to solve the linear second kind non-homogenous Volterra Integral Equations. Findings: Based on the findings of the study, implementing numerical methods VIM, ADM, and TSM are very helpful to obtain the solutions of linear second kind non-homogenous Volterra Integral Equations. Further numerical examples illustrate the accuracy of the Adomian Decomposition Method, Variational Iteration Method and Taylors Series Method. Novelty: Our research highlights the importance of the numerical methods VIM, ADM add TSM as these methods are quick convergence of solutions. Furthermore, our analysis led us to the determination that any integral equations can be solved by these methods easily and all the methods led us approximately at one point.