An exponential method to solve linear Fredholm–Volterra integro-differential equations and residual improvement

An improvement to the homotopy perturbation method for solving integro-differential equations

an improvement to the homotopy perturbation method for solving integro-differential equations

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A pertinent approach to solve nonlinear fuzzy integro-differential equations

Fuzzy integro-differential equations is one of the important parts of fuzzy analysis theory that holds theoretical as well as applicable values in analytical dynamics and so an appropriate computational algorithm to solve them is in essence. In this article, we use parametric forms of fuzzy numbers and suggest an applicable approach for solving nonlinear fuzzy integro-differential equations usi...

Modified homotopy method to solve non-linear integral equations

In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre ...

an improvement to the homotopy perturbation method for solving integro-differential equations