ANALYTIC SOLUTION TO BENJAMIN-BONA-MAHONY EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD
Journal Title: Matrix Science Mathematic | Matriks Sains Matematik (MSMK) - Year 2019, Vol 3, Issue 1
Abstract
In this paper, we want to find the analytic solution of Benjamin-Bona-Mahony (BBM) equation by using Laplace Adomian Decomposition Method. Laplace Adomian Decomposition Method is an excellent mathematical tool for solving linear and nonlinear differential equation. This method is a combination of the famous integral transform known as Laplace transform and the Adomian Decomposition Method (ADM).
Authors and Affiliations
Muhammmad Ikram, Abbas Muhammad, Atiq Ur Rahmn
MULTIGRID SOLUTION FOR THE CAUCHY PROBLEM ASSOCIATED WITH HELMHOLTZ TYPE EQUATION ON NON-UNIFORM GRIDS
In this paper, an HOC scheme with multigrid algorithm is developed for solving the Cauchy problem associated with two dimensional Helmholtz type equations. The suggested scheme has up to fourth order accuracy. Lastly, so...
Investigating at Least One Solution to a Systems of Multi-Points Boundary Value Problems
Current article is concerned with the investigating a coupled systems of boundary value problems(BVPs) of fractional order differential equations(FDEs). By means of classical fixed point theorems, we prove the existence...
ANALYTIC SOLUTION OF FRACTIONAL JEFFREY FLUID INDUCED BY ABRUPT MOTION OF THE PLATE
This paper presents some new exact solutions corresponding to unsteady fractional Jeffrey fluid produced by a flat plate between two side walls perpendicular to the plate. The fractional calculus approach in the governin...
ON COUPLED SYSTEM OF NONLINEAR HYBRID DIFFERENTIAL EQUATION WITH ARBITRARY ORDER
This paper is devoted to the study of the existence of solution to the following toppled system: ()0( ), ()1( ). ()0( ), ()1( ), ,()([ )] (,( ), ,)),( ,()([ )] (,( ), ,)),( 11 22 11 22 ...
HIGHER ORDER COMPACT FINITE DIFFERENCE METHOD FOR THE SOLUTION OF 2-D TIME FRACTIONAL DIFFUSION EQUATION
The main purpose of this study is to work on the solution of two-dimensional time fractional diffusion equation In this research work we apply the HOC scheme to approximate the second order space derivative. To obtain a...