An approximate analytical solution of the two-dimensional KdV-burgers equation by the homotopy analysis method

2018 ◽  
Author(s):  
Chayanon Kattiyapirak ◽  
Watcharapong Khovidhungij
Keyword(s):  
Analytical Solution ◽  
Homotopy Analysis Method ◽  
Burgers Equation ◽  
Approximate Analytical Solution ◽  
Two Dimensional ◽  
Analysis Method ◽  
Homotopy Analysis

scholarly journals Approximate Analytical Solutions to Conformable Modified Burgers Equation Using Homotopy Analysis Method

2019 ◽  
Vol 33 (1) ◽  
pp. 159-167 ◽  
Author(s):  
Ali Kurt ◽  
Orkun Tasbozan
Keyword(s):  
Analytical Solution ◽  
Analytical Solutions ◽  
Homotopy Analysis Method ◽  
Burgers Equation ◽  
Approximate Analytical Solution ◽  
Analysis Method ◽  
Conformable Derivative ◽  
Modified Burgers Equation ◽  
Approximate Analytical Solutions ◽  
Homotopy Analysis

AbstractIn this paper the authors aspire to obtain the approximate analytical solution of Modified Burgers Equation with newly defined conformable derivative by employing homotopy analysis method (HAM).

scholarly journals On the Solution of Burgers’ Equation with the New Fractional Derivative

Open Physics ◽  
2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Ali Kurt ◽  
Yücel Çenesiz ◽  
Orkun Tasbozan
Keyword(s):  
Exact Solution ◽  
Analytical Solution ◽  
Fractional Derivative ◽  
Burgers Equation ◽  
Approximate Analytical Solution ◽  
Initial Conditions ◽  
Conformable Fractional Derivative ◽  
Analysis Method ◽  
Auxiliary Parameter ◽  
Homotopy Analysis

AbstractFirstly in this article, the exact solution of a time fractional Burgers’ equation, where the derivative is conformable fractional derivative, with dirichlet and initial conditions is found byHopf-Cole transform. Thereafter the approximate analytical solution of the time conformable fractional Burger’s equation is determined by using a Homotopy Analysis Method(HAM). This solution involves an auxiliary parameter ~ which we also determine. The numerical solution of Burgers’ equation with the analytical solution obtained by using the Hopf-Cole transform is compared.

scholarly journals Homotopy Analysis Method for Conformable Burgers-Korteweg-de Vries Equation

2016 ◽  
Vol 17 ◽  
pp. 17-23 ◽  
Author(s):  
Ali Kurt ◽  
Orkun Tasbozan ◽  
Yücel Cenesiz
Keyword(s):  
Exact Solution ◽  
Analytical Solution ◽  
Homotopy Analysis Method ◽  
Vries Equation ◽  
Approximate Analytical Solution ◽  
Analysis Method ◽  
Conformable Derivative ◽  
De Vries ◽  
Homotopy Analysis

The main goal of this paper is nding the approximate analytical solution of Burgers-Korteweg-de Vries with newly de ned conformable derivative by using homotopy analysis method (HAM). Then the approximate analytical solution is compared with the exact solution and comparative tables are given.

scholarly journals SOLUTIONS OF FRATIONAL EMDEN-FOWLER EQUATIONS BY HOMOTOPY ANALYSIS METHOD

2018 ◽  
Vol 13 (1) ◽  
pp. 7042-7047 ◽  
Author(s):  
Huan Huan Wang ◽  
Yue Hu
Keyword(s):  
Analytical Solution ◽  
Homotopy Analysis Method ◽  
Initial Value Problems ◽  
Approximate Analytical Solution ◽  
Analysis Method ◽  
Initial Value ◽  
Homotopy Analysis

In this paper, we have solved the singular initial value problems of fractional Emden-Fowler type equations by using the homotopy analysis method. The approximate analytical solution of this type equations are obtained.

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