Numerical solution of the some partial differential equations using restrictive pade approximation

This study consists of six chapters. In the first chapter, basic concept are given for about to numerical solution of the diffusion equation. In the second chapter, we find that the numerical solution of the diffusion equation using restrictive Pade approximation. This solution is orginal. After that, we examined same method fort he singulerly perturbed hiperbolic equation and given the numerical solution algorithm. In the fourth chapter, determinant formulation for the generalized restrictive Pade approximation and examined about to numerical examples. In the fifth section, some examine for the truncation error. The solution of the parabolic and hyperbolic initial- boundry value problems are examined separately with local truncation error. In the last section, conclusion and recommendations are included. Consequently, created work about to numerical solution of the linear diffusion equation. Keywords: Diffusion Equation, Partial Derivative Differential Equation, Restrictive Pade Approximation.