Final Examination 18.303 Linear Partial Differential Equations

Infinite Spatial Domains and the Fourier Transform 18.303 Linear Partial Differential Equations

The method of characteristics applied to quasi-linear PDEs 18.303 Linear Partial Differential Equations

Solutions to Problems for The 1-D Heat Equation 18.303 Linear Partial Differential Equations

Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations

The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...

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...