A New Technique for Simulation the Zakharov–Kuznetsov Equation
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 2
Abstract
In this article, a new technique is proposed to simulated two-dimensional Zakharov–Kuznetsov equation with the initial condition. The idea of this technique is based on Taylors' series in its derivation. Two test problems are presented to illustrate the performance of the new scheme. Analytical approximate solutions that we obtain are compared with variational iteration method (VIM) and homotopy analysis method (HAM). The results show that the new scheme is efficient and better than the other methods in accuracy and convergence.
Authors and Affiliations
Mohammed Sabah Abdul-Wahab, A. S. J. Al-Saif
Keywords
Related Articles
- EP ID EP651885
- DOI 10.24297/jam.v14i2.7559
- Views 208
- Downloads 0
An iterative method for solving boundary value problems for second order differential equations
The purpose of this paper is to investigate the application of the Adomian decomposition method (ADM) for solving boundary value problems for second-order differential equations with Robin boundary conditions. We first r...
Robust H1 control for a class of switched nonlinear systems
This article is concerned with the robust H1 control problem of a class of switched nonlinear systems with norm-bounded time-varying uncertainties. The system considered in this class is composed of two parts: a uncertai...
ON SOME CONCEPTS RESPECT TO WEAK STRUCTURES
In this paper, we use the concept of a weak structure to introduce some new concepts such as sub weak structure, separation, connectedness and sub connected space. Furthermore, investigate some theorems with their proofs...
Cone-Henig Subdifferentials of Set-Valued Maps in Locally Convex Spaces.
In locally convex spaces, the concepts of cone-Henig subgradient and cone-Henig subdifferential for the set-valued mapping are introduced through the linear functionals. The theorems of existence for Henig effi...
CHARACTERIZATION OF CODES OF IDEALS OF THE POLYNOMIAL RING F30 2 [x] mod ô€€€ x30 ô€€€ 1 FOR ERROR CONTROL IN COMPUTER APPLICATONS
The study of ideals in algebraic number system has contributed immensely in preserving the notion of unique factorization in rings of algebraic integers and in proving Fermat's last Theorem. Recent research has revealed...