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Your search keyword '"KUDU, MUSTAFA"' showing total 2 results
Start Over Author "KUDU, MUSTAFA" Journal applied mathematics & computation
2 results on '"KUDU, MUSTAFA"'

1. Uniform difference method for a parameterized singular perturbation problem

Author

Amiraliyev, G.M., Kudu, Mustafa, and Duru, Hakki

Subjects
*FINITE differences, *BOUNDARY value problems, *QUASILINEARIZATION, *DIFFERENTIAL equations
Abstract

Abstract: We consider a uniform finite difference method on a B-mesh is applied to solve a singularly perturbed quasilinear boundary value problem (BVP) depending on a parameter. We give a uniform first-order error estimates in a discrete maximum norm. Numerical results are presented that demonstrate the sharpness of our theoretical analysis. [Copyright &y& Elsevier]

Published
2006
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2. A numerical treatment for singularly perturbed differential equations with integral boundary condition

Author

Amiraliyev, G.M., Amiraliyeva, I.G., and Kudu, Mustafa

Subjects
*DIFFERENTIAL equations, *NUMERICAL analysis, *COMPLEX variables, *MATHEMATICAL physics
Abstract

Abstract: We consider a uniform finite difference method on Shishkin mesh for a quasilinear first order singularly perturbed boundary value problem (BVP) with integral boundary condition. We prove that the method is first order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. The parameter uniform convergence is confirmed by numerical computations. [Copyright &y& Elsevier]

Published
2007
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