Reduced differential transform method to solve two and three dimensional second order hyperbolic telegraph equations

Differential Transform Method to two-dimensional non-linear wave equation

In this paper, an analytic solution is presented using differential transform method (DTM) for a class of wave equation. The emphasis is on the nonlinear two-dimensional wave equation. The procedures introduced in this paper are in recursive forms which can be used to obtain the closed form of the solutions, if they are required. The method is tested on various examples, and the results reveal ...

APPLICATION OF DIFFERENTIAL TRANSFORM METHOD TO SOLVE HYBRID FUZZY DIFFERENTIAL EQUATIONS

In this paper, we study the numerical solution of hybrid fuzzy differential equations by using differential transformation method (DTM). This is powerful method which consider the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. Several numerical examples are given and by comparing the numerical results obtained from DTM  and  predi...

Fuzzy laplace transform on two order derivative and solving fuzzy two order differential equations

Second-Order Domain Decomposition Method for Three-Dimensional Hyperbolic Problems

In this paper, a non-overlapping second-order domain decomposition method for solving three-dimensional hyperbolic partial differential equation is proposed. Unconditional stability of the algorithm is analyzed. Numerical experiments show that the method is stable and very efficient. Mathematics Subject Classification: 65M06, 65M55

Numerical solutions of two-dimensional linear and nonlinear Volterra integral equations: Homotopy perturbation method and differential transform method