Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator

Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator

21 February 2024 | Humaira Yasmin, A. A. Alderremy, Rasool Shah, Abdul Hamid Ganie and Shaban Aly
This study employs the New Iterative Method (NIM) to solve the fractional Wu-Zhang equation under the Caputo derivative framework. The NIM is an effective iterative method that offers a practical approach to obtaining approximate solutions for fractional differential equations. The method is applied to the Wu-Zhang equation, and its solution and behavior are analyzed through numerical analysis and the presentation of relevant tables and figures. The research demonstrates the accuracy and efficiency of the NIM in solving the fractional Wu-Zhang equation, contributing to the understanding and solution of fractional-order differential equations and their applications in various scientific and engineering domains. The study explores various fractional order values and examines the physical characteristics of the solutions through 3D and contour plots. A comparison between the approximate and exact solutions is also conducted to ensure the model's accuracy. The research highlights the significance of the NIM as a valuable tool for solving fractional-order differential equations and opens up opportunities for further exploration and application in various scientific and engineering disciplines.This study employs the New Iterative Method (NIM) to solve the fractional Wu-Zhang equation under the Caputo derivative framework. The NIM is an effective iterative method that offers a practical approach to obtaining approximate solutions for fractional differential equations. The method is applied to the Wu-Zhang equation, and its solution and behavior are analyzed through numerical analysis and the presentation of relevant tables and figures. The research demonstrates the accuracy and efficiency of the NIM in solving the fractional Wu-Zhang equation, contributing to the understanding and solution of fractional-order differential equations and their applications in various scientific and engineering domains. The study explores various fractional order values and examines the physical characteristics of the solutions through 3D and contour plots. A comparison between the approximate and exact solutions is also conducted to ensure the model's accuracy. The research highlights the significance of the NIM as a valuable tool for solving fractional-order differential equations and opens up opportunities for further exploration and application in various scientific and engineering disciplines.
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