56 Papers
157 Citations
Marjan Uddin is an academic researcher from University of Engineering and Technology, Peshawar. The author has contributed to research in topics: Nonlinear system & Numerical analysis. The author has an hindex of 12, co-authored 44 publications. Previous affiliations of Marjan Uddin include Karakoram International University.
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Papers
A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations
TL;DR: In this article, a simple classical radial basis functions (RBFs) collocation (Kansa) method was proposed for numerical solution of the coupled Korteweg-de Vries (KdV) equations, coupled Burgers' equations, and quasi-nonlinear hyperbolic equations.
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A mesh-free numerical method for solution of the family of Kuramoto-Sivashinsky equations
TL;DR: In this paper, radial basis function (RBFs) based mesh-free method is implemented to find numerical solution of the Kuramoto-Sivashinsky equations to demonstrate accuracy and robustness of the method for solving a class of nonlinear partial differential equations.
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A mesh-free method for the numerical solution of the KdV–Burgers equation
TL;DR: A simple classical radial basis functions collocation method for the numerical solution of the nonlinear dispersive and dissipative KdV–Burgers’ (KdVB) equation is formulates.
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Numerical solution of complex modified Korteweg-de Vries equation by mesh-free collocation method
TL;DR: A mesh-free method based on radial basis functions (RBFs) is proposed for the solution of complex modified Korteweg-de Vries (CMKdV) equation and the results obtained are in good agreement with exact solutions and the earlier work.
35
A localized transform-based meshless method for solving time fractional wave-diffusion equation
Marjan Uddin,Kamran,Amjad Ali +2 more
TL;DR: In this paper, a hybrid transform-based localized meshless method is constructed for the solution of fractional diffusion-wave equations and the time stepping procedure is avoided to overcome the problem of time in-stability related to meshless methods.
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