The General Analytical and Numerical Solution for the Nonlinear Klein-Gordon Equation

K. Karimi; D. Rostamy; N. Khodayar

We investigate the analytical solutions of the nonlinear Klein-Gordon equation with cubic nonlinearity, by applying the idea of commutative hypercomplexmathematics. And also, we apply Bernstein Spectral method to approximate the solution of the nonlinear Klein-Gordon equation. Illustrative example is included to demonstrate the validity and applicability of the technique.

Select Volume / Issues:

• Volume 4 Issue 3, May. 2013

Year:

2013

Type of Publication:

Article

Keywords:

Nonlinear Klein-Gordon Equation; Commutative Hypercomplexatematics; Bernstein Polynomials; Collocation

Journal:

IJECCE

Volume:

4

Number:

3

Pages:

1057-1061

Month:

May