Computational technique of linear partial differential equations by reduced differential transform ‎method

Subject Areas : International Journal of Industrial Mathematics

H. ‎Rouhparvar‎ ¹

1 - Department of Mathematics, College of Technical and Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran

Received: 2016-11-07 Accepted : 2016-11-07 Published : 2016-11-01

Keywords: Reduced differential transform, ‎ Taylor series, Parabolic equations, Hyperbolic ‎equations,

Abstract :

This paper presents a class of theoretical and iterative method for linear partial differential equations. An algorithm and analytical solution with a initial condition is obtained using the reduced differential transform method. In this technique, the solution is calculated in the form of a series with easily computable components. There test modeling problems from mathematical mechanic, physic, electronic and so on, and are discussed to illustrate the effectiveness and the performance of the our ‎method.