New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations
Mohamed Z. Mohamed, Tarig M. Elzaki, Mohamed S. Algolam, Eltaib M. Abd Elmohmoud, Amjad E. Hamza
Abstract
The objective of this paper is to compute the new modified method of variational iteration and the Laplace Adomian decomposition method for the solution of nonlinear fractional partial differential equations. We execute a comparatively newfangled analytical mechanism that is denoted by the modified Laplace variational iteration method (MLVIM) and Laplace Adomian decomposition method (LADM). The effect of the numerical results indicates that the double approximation is handy to execute and reliable when applied. It is shown that numerical solutions are gained in the form of approximately series which are facilely computable.
Topics & Concepts
Adomian decomposition methodLaplace transformMathematicsLaplace transform applied to differential equationsDecomposition method (queueing theory)Laplace's equationSeries (stratigraphy)Partial differential equationMathematical analysisNonlinear systemApplied mathematicsPhysicsQuantum mechanicsPaleontologyBiologyDiscrete mathematicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNumerical methods in engineering