• AJIT P. DHUMAL

In this paper we will discuss various methods to solve linear Integro-Differential equations. There are several methods to solve linear IDE`S namely Adomian Decomposition method, Variational Iteration method, Series Solution Method, Laplace Transform method. The Adomian Decomposition method is powerful and efficient methods that both give approximations of higher accuracy and closed form solutions if existing. The variational iteration method gives several successive approximation through using the iteration of the correction functional. In Series Solution method the more terms we evaluate, the higher accuracy level we achieve. The Laplace transform is a very useful method for solving various types of equations, such as integro-differential equations, integral equations, fractional equations, and delay differential equations.

Linear Integro-Differential Equation, Adomian Decomposition method, Variational Iteration Method, Series Solution Method, Laplace Transform Method.

"Various methods to solve linear Integro-differential equations", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.12, Issue 8, page no.c264-c267, August-2025, Available :http://www.jetir.org/papers/JETIR2508237.pdf

"Various methods to solve linear Integro-differential equations", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.12, Issue 8, page no. ppc264-c267, August-2025, Available at : http://www.jetir.org/papers/JETIR2508237.pdf