NUMERICAL SOLUTION TO LINEAR SINGULARLY PERTURBED TWO POINT BOUNDARY VALUE PROBLEMS USING B-SPLINE COLLOCATION METHOD
نویسندگان
چکیده
منابع مشابه
Numerical Solution to Linear Singularly Perturbed Two Point Boundary Value Problems Using B-spline Collocation Method
A Recursive form cubic B-spline basis function is used as basis in B-spline collocation method to solve second linear singularly perturbed two point boundary value problem. The performance of the method is tested by considering the numerical examples with different boundary conditions. Results of numerical examples show the robustness of the method when compared with the analytical solution.
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Under these conditions the operator L admits the maximum principle [1]. These types of problems, in which a small parameter multiplies the highest derivative, are known as singular perturbation problems. They arise in the mathematical modeling of physical and chemical processes, for instance, reaction diffusion processes, chemical reactor theory, fluid mechanics, quantum mechanics, fluid dynami...
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ژورنال
عنوان ژورنال: International Journal of Research -GRANTHAALAYAH
سال: 2016
ISSN: 2350-0530,2394-3629
DOI: 10.29121/granthaalayah.v4.i1.2016.2858