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This method is based on collocation methods with mesh-free techniques as a background.
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It is based on collocation method and mathematical programming to create the bilateral inequality.
MATLAB built-in package bvp4c, based on collocation method, is also implemented for generating numerical results.
Solutions based on collocation method with quadratic B-spline finite elements and the central finite difference method for time are investigated by Raslan [34].
In this paper, we have introduced a spectral approach based on collocation method to obtain optimal control of systems governed by VIE.
Spectral methods have been used to introduce approximate solutions for the fractional differential equations based on collocation and tau methods, see [15, 16].
Previously, He had introduced the energy balance method based on collocation and the Hamiltonian.
The governing equations for the Timoshenko beam are solved numerically using a meshless method based on collocation with radial basis functions.
In this work, a numerical solution of the modified regularized long wave (MRLW) equation is obtained by the method based on collocation of quintic B-splines over the finite elements.
Finally, for numerical solutions of the nonlinear Fisher reaction-diffusion equation, Mittal and Jain [31] proposed a numerical method, based on collocation of modified cubic B-splines over finite elements.
The method is based on collocation of modified cubic B-splines over finite elements, so we have continuity of the dependent variable and its first two derivatives throughout the solution range.
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