Document Type : Research Paper

Author

• Huda Omran Altaie

University of Baghdad, Department of Mathematics College of Education For Pure Sciences, Ibn Al-Haitham, Iraq

Abstract

This paper studies a novel technique based on the use of two effective methods like modified Laplace- variational method (MLVIM) and a new Variational method (MVIM)to solve PDEs with variable coefficients. The current modification for the (MLVIM) is based on coupling of the Variational method (VIM) and Laplace- method (LT). In our proposal there is no need to calculate Lagrange multiplier. We applied Laplace method to the problem .Furthermore, the nonlinear terms for this problem is solved using homotopy method (HPM). Some examples are taken to compare results between two methods and to verify the reliability of our present methods.

Keywords

• Homotopy method
• He’s polynomials
• PDEs
• Laplace-Variational iteration method
• Lagrange multipliers. Introduction