Solutions of Linear Partial Differential Equations with Mixed Partial Derivatives by Elzaki Substitution Method

In this paper we introduced a new method, named Elzaki Substitution Method, which is based on Elzaki transform for solving linear partial differential equations with mixed partial derivatives. This proposed method will play an important role to find exact solutions of partial differential equations involving mixed partial derivatives with less computation as compared with other methods such as Method of Separation of Variables (MSV) and Variation Iteration Method (VIM). Elzaki transforms of partial derivatives with some fundamental properties are presented in this paper. Illustrative examples are presented to demonstrate the effectiveness, efficiency and applicability of proposed method.