Articles written in Pramana – Journal of Physics
Volume 95 All articles Published: 3 February 2021 Article ID 0006 Research Article
Numerical solution of time-fractional coupled Korteweg–de Vries and Klein–Gordon equations by local meshless method
MUHAMMAD NAWAZ KHAN IMTIAZ AHMAD ALI AKGÜL HIJAZ AHMAD PHATIPHAT THOUNTHONG
This article provides numerical simulations of the time-fractional coupled Korteweg–de Vries and Klein–Gordon equations via the local meshless collocation method (LMCM) utilising the radial basis functions. The recommended local meshless technique is utilised for the space derivatives of the models whereas Caputo fractional definition is used for time-fractional derivative. Numerical experiments are performed for one-dimensional coupled Korteweg–de Vries and two-dimensional Klein–Gordon equations. In order to verify the efficiency and accuracy of the proposed meshless method, numerical results are compared with exact and numerical techniques reported in recent literature which reveals that the method is computationally attractive and produces better results.
Volume 97, 2023
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