Numerical based solution of nonlinear Volterra integral equations using Laplace decomposition method

2025/07/28 by Shone, T. T.

paper · doi:10.20372/nadre:13249

Abstract

The Laplace transform method has been applied with the help of Adomian polynomial to solve nonlinear integral equations. The proposed method is very different from other analytical method because the nonlinear terms are expressed in Adomian polynomial using the Newton-Raphson formula. The results are investigated and compared with exact solutions.

Related

• Numerical based solution of nonlinear Volterra integral equations using Laplace decomposition method
• Numeric solution of systems of nonlinear Volterra integral equations of the first kind with discontinuous kernels
• Application of orthonormal Bernoulli polynomials for approximate solution of some Volterra integral equations
• Direct numerical scheme for all classes of nonlinear Volterra integral equations of the first kind
• Numerical Solution of Multiple Nonlinear Volterra Integral Equations