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

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

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, physi...

Solving System of Fractional Order Partial Differential Equations by the Reduced Differential Transform Method

Differential transform method for solving linear and non-linear systems of partial differential equations

Article history: Received 9 May 2008 Received in revised form 18 June 2008 Accepted 6 October 2008 Available online 10 October 2008 Communicated by A.R. Bishop PACS: 02.60.Lj 02.60.Cb 02.30.Jr

Exact solutions for wave-like equations by differential transform method

Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Some examples are prepared to show theefficiency and simplicity of th...

Solving a Class of Partial Differential Equations by Differential Transforms Method

‎In this work, we find the differential transforms of the functions $tan$ and‎ ‎$sec$‎, ‎and then we applied this transform on a class of partial differential equations involving $tan$ and‎ ‎$sec$‎.

reduced differential transform method for solving linear and nonlinear wave equations

reduced differential transform method (rdtm) is applied to various wave equations. to assessthe accuracy of the solutions, we compare the results with the exact solutions and variational iteration method.the results reveal that the rdtm is very effective, convenient and quite accurate to systems of nonlinearequations.