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The numerical solution of the singular two-point boundary value problems by using non-polynomial spline functions
The non-polynomial spline method is proposed to solve a singular boundary value problems. Some model problems are solved and the numerical results are compared with B-spline approximation and the exact solution. Results ...
B-Spline solution of linear hyperbolic partial differential equations
Second-order linear hyperbolic equations are solved by using B-spline method . The numerical solution of the equations are discussed and illustrated with an example. Numerical results reveal that B-spline method ...
Third-Degree B-spline solution for a nonlinear diffusion Fisher’xxs equation
Non-linear Fisher’s equations are solved by using a spline method based on B-spline in the space direction and finite difference schema in the time direction. Numerical results reveal that spline method based on Bspline is ...