Application of differential transformation to eigenvalue problems
Applied Mathematics and Computation
Differential transformation technique for steady nonlinear heat conduction problems
Applied Mathematics and Computation
Vibration analysis of continuous systems by differential transformation
Applied Mathematics and Computation
Solving partial differential equations by two-dimensional differential transform method
Applied Mathematics and Computation
On solving some eigenvalue problems by using a differential transformation
Applied Mathematics and Computation
A new differential transformation approach for two-dimensional Volterra integral equations
International Journal of Computer Mathematics
A new analytical approximate method for the solution of fractional differential equations
International Journal of Computer Mathematics
The (1+3)-dimensional Burgers equation and its comparative solutions
Computers & Mathematics with Applications
Advances in Engineering Software
| Hi-index | 0.48 |
The differential transformation technique which is applied to solve eigenvalue problems and to solve partial differential equations (P.D.E.) is proposed in this study. First, using the one-dimensional differential transformation to construct the eigenvalues and the normalized eigenfunctions for the differential equation of the second- and the fourth-order. Second, using the two-dimensional differential transformation to solve P.D.E. of the first- and second-order with constant coefficients. In both cases, a set of difference equations is derived and the calculated results are compared closely with the results obtained by other analytical methods.