UPSI Digital Repository (UDRep)
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UPSI Digital Repository (UDRep)
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| Abstract : Perpustakaan Tuanku Bainun |
| In this study, we propose two innovative numerical methods for solving Klein- Gordon equations: the Zafar Projected Differential Transform Method (ZPDTM) and the Laplace Projected Differential Transform Method (LPDTM). By integrating the Zafar and Laplace transforms respectively with the Projected Differential Transform Method, these approaches offer improved computational efficiency and enhanced solution accuracy. The performance of both methods is demonstrated through their application to linear and nonlinear forms of the Klein-Gordon equation, showing strong agreement with exact solutions and reduced computational overhead. These results highlight the versatility and reliability of ZPDTM and LPDTM in addressing complex differential models encountered in physics and engineering.
Keywords Zafar Transform; Laplace Transform; Projected Differential Transform; Klein- Gordon equations; Exact solution |
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