Modified Homotopy Perturbation Method for Solving the System of Volterra Integral Equations

In this work, we have studied a class of nonlinear Riccati differential equation which is used as mathematical models in many physically significant fields and applied science. The homotopy perturbation method, has been modified for solving generalized linear and nonlinear Riccati differential equation, which is a second-order ordinary differential equation. Also, we have tested the modified homotopy perturbation method on the solving of different implementations which are show the efficiency and accuracy of the proposed method. The approximated solutions are agreed well with analytical solutions for the tested problems.

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Modified Homotopy Perturbation Method for Solving the System of Volterra Integral Equations

Cited by 5 publications

References 1 publication

An approximate solution to an initial boundary value problem: Rakib–Sivashinsky equation

An approximate solution to an initial boundary value problem: Rakib–Sivashinsky equation

A new analytical method for solving systems of Volterra integral equations

Homotopy Perturbation Method for Solving Generalized Riccati Differential Equation

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