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Vol.4 , No. 1, Publication Date: Jun. 13, 2017, Page: 1-7
 for Nonlinear Initial Value Problems&description=The differential transform method (DTM) is based on the Tylor series for all variable. In this paper, we implemented the differential transform method (DTM) for solving various forms of nonlinear Klein-Gordon type equations. The suggested algorithm is helpful for finding the approximate analytical solution of nonlinear Klein-Gordon type equations. Several illustrative examples are given and the solutions of our model equations are calculated in the form of convergent series with easily computable components. The results reveals that the approach is quite easy to implement and proves to be very effective for such type of equations. The method introduces a promising tool for solving many linear and nonlinear differential equations.&picture=http://www.aascit.org/aascit/decorators/img/journal/921.jpg)
| [1] | Munaza Saeed, Department of Mathematics, University of Wah, Wah, Pakistan. |
| [2] | Ayesha Sidique, Department of Mathematics, University of Wah, Wah, Pakistan. |
| [3] | Ammara Ehsan, Department of Mathematics, University of Wah, Wah, Pakistan. |
| [4] | Muhammad Ashraf, Department of Mathematics, University of Wah, Wah, Pakistan. |
| [5] | Qazi Mahmood Ul-Hassanand, Department of Mathematics, University of Wah, Wah, Pakistan. |
| [6] | Kamran Ayub, Department of Mathematics, Riphah International University, Islamabad, Pakistan. |
The differential transform method (DTM) is based on the Tylor series for all variable. In this paper, we implemented the differential transform method (DTM) for solving various forms of nonlinear Klein-Gordon type equations. The suggested algorithm is helpful for finding the approximate analytical solution of nonlinear Klein-Gordon type equations. Several illustrative examples are given and the solutions of our model equations are calculated in the form of convergent series with easily computable components. The results reveals that the approach is quite easy to implement and proves to be very effective for such type of equations. The method introduces a promising tool for solving many linear and nonlinear differential equations.
Keywords
Klein-Gordon Equation, Two Dimensional Differential Transform Method, Sine-Gordon Equation and Tylor Series
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