scholarly journals A New Homotopy Analysis Method for Approximating the Analytic Solution of KdV Equation

2014 ◽  
Vol 7 (4) ◽  
pp. 826-831
Author(s):  
Vahid Barati ◽  
Mojtaba Nazari ◽  
Vincent Daniel David ◽  
Zainal Abdul Aziz
Keyword(s):  
Homotopy Analysis Method ◽  
Analytic Solution ◽  
Kdv Equation ◽  
Analysis Method ◽  
Homotopy Analysis

Analytic Solution of Three-Dimensional Viscous Flow and Heat Transfer Over a Stretching Flat Surface by Homotopy Analysis Method

2008 ◽  
Vol 130 (12) ◽  
Author(s):  
Ahmer Mehmood ◽  
Asif Ali
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Homotopy Analysis Method ◽  
Analytic Solution ◽  
Porous Plate ◽  
Three Dimensional ◽  
Parallel Plates ◽  
Analysis Method ◽  
Electrically Conducting ◽  
Homotopy Analysis

In this paper heat transfer in an electrically conducting fluid bonded by two parallel plates is studied in the presence of viscous dissipation. The plates and the fluid rotate with constant angular velocity about a same axis of rotation where the lower plate is a stretching sheet and the upper plate is a porous plate subject to constant injection. The governing partial differential equations are transformed to a system of ordinary differential equations with the help of similarity transformation. Homotopy analysis method is used to get complete analytic solution for velocity and temperature profiles. The effects of different parameters are discussed through graphs.

scholarly journals Solution of the Local Fractional Generalized KDV Equation Using Homotopy Analysis Method

Fractals ◽  
2021 ◽  
Author(s):  
Hossein Jafari ◽  
Pranay Goswami ◽  
Ravi Shanker Dubey ◽  
Jyoti Geetesh Prasad
Keyword(s):  
Homotopy Analysis Method ◽  
Kdv Equation ◽  
Analysis Method ◽  
Generalized Kdv Equation ◽  
Homotopy Analysis

Solving the discrete KdV equation with homotopy analysis method

2007 ◽  
Vol 370 (3-4) ◽  
pp. 287-294 ◽  
Author(s):  
L. Zou ◽  
Z. Zong ◽  
Z. Wang ◽  
L. He
Keyword(s):  
Homotopy Analysis Method ◽  
Kdv Equation ◽  
Analysis Method ◽  
Homotopy Analysis
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