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۱Numerical Solutions of Cubic and Modified Cubic Boussinesq Equation Using Homotopy Analysis Method
اطلاعات انتشار: World Applied Sciences Journal، سي و دوم،شماره۴، ۲۰۱۴، سال
تعداد صفحات: ۵
Nonlinear problems occur in different fields of sciences and engineering. Most of the problems can be modeled by linear and nonlinear partial differential equations. It is very difficult and tedious to find the exact solutions of nonlinear models. The most important and challenging task is to find the exact solutions of such models. Therefore many researchers prefer to investigate the approximate solutions of such problems. In this study, Cubic Boussinesq equation(CBE) and Modified Cubic Boussinesq equation (MCBE) has been solvedusing a well–known iterative technique called the homotopy analysis method (HAM). Results obtained by HAM are compared with the exact solutions and it is shown that, the results obtained by HAM have a great agreement with the exact solution. Numerical results are elaborated with the help of absolute error tables.
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