Homotopy analysis method for solving KdV equations

Journal Title: Surveys in Mathematics and its Applications - Year 2010, Vol 5, Issue 0

Abstract

A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach. Numerical solutions obtained by homotopy analysis method are compared with exact solution. The comparison shows that the obtained solutions are in excellent agreement.

Authors and Affiliations

Hossein Jafari, M. Firoozjaee

Keywords

Related Articles

Identifiability of the multivariate normal by the maximum and the minimum

In this paper, we have discussed theoretical problems in statistics on identification of parameters of a non-singular multi-variate normal when only either the distribution of the maximum or the distribution of the minim...

A unique common fixed point theorem for occasionally weakly compatible maps

The aim of this paper is to establish a unique common fixed point theorem for two pairs of occasionally weakly compatible single and multi-valued maps in a metric space. This result improves the result of Türkoglu et al....

Some Absolutely Continuous Representations of Function Algebras

In this paper we study some absolutely continuous representations of function algebras, which are weak ρ-spectral in the sense of [5] and [6], for a scalar ρ > 0. More precisely, we investigate certain conditions for...

Full averaging of fuzzy impulsive differential inclusions

In this paper the substantiation of the method of full averaging for fuzzy impulsive differential inclusions is studied. We extend the similar results for impulsive differential inclusions with Hukuhara derivative (Skrip...

Existence and nonexistence results for second-order Neumann boundary value problem

In this paper some existence and nonexistence results for positive solutions are obtained for second-order boundary value problem <CENTER>-u"+Mu=f(t,u), t∈(0,1) </CENTER>with Neumann boundary conditions <C...

Download PDF file
  • EP ID EP145023
  • DOI -
  • Views 70
  • Downloads 0

How To Cite

Hossein Jafari, M. Firoozjaee (2010). Homotopy analysis method for solving KdV equations. Surveys in Mathematics and its Applications, 5(0), 89-98. https://europub.co.uk./articles/-A-145023