Application of Homotopy Perturbation and Sumudu Transform Method for Solving Burgers Equations

Abstract

In this paper, the exact solution of Burgers equations are obtained by using coupling homotopy perturbation and Sumudu transform method (HPSTM), theoretical considerations are discussed, to illustrate the capability and reliability some examples are provided, the results reveal that method is very effective and simple.

Modified conformable double Laplace–Sumudu approach with applications

“…Unfortunately, this integral transformation cannot directly handle nonlinear equations, unlike other integral transformations. Because of this, mathematicians have developed new techniques that incorporate integral transformations with numerical methods like the decomposition method, the perturbation method, the iteration variation method, and others [ [49] , [50] , [51] , [52] , [53] , [54] , [55] , [56] , [57] , [58] , [59] ].…”

Numerical Solutions for the Nonlinear PDEs of Fractional Order by Using a New Double Integral Transform with Variational Iteration Method

“…The properties and theories of double integrals, such as [15][16][17] , are novel. Some authors have used these transforms in conjunction with other mathematical techniques, such as the HAM, ADM, and VIM [18][19][20][21] , to solve linear and nonlinear fractional differential equations.…”

Double SEJI Integral Transform and its Applications of Solution Integral Differential Equations

“…Several of transforms are combined them with exclusive mathematical methods like differential transform approach, homotopy perturbation technique, Adomian decomposition method, and variational iteration method [17,18,19,20,21,22,23,24,25,26].…”