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Application of B-Spline to Numerical Solution of a System of Singularly Perturbed Problems

Journal Name:

  • Mathematica Æterna

Publication Year:

  • 2011

Key Words:

Author Name
Abstract (2. Language): 
Present paper recapitulates a numerical method based on cubic B-spline to solve boundary value problems for a system of singularly perturbed second order ordinary differential equations. The method utilizes the values of cubic B-spline and its derivatives at nodal points together with the equations of the given system and boundary conditions, ensuing into the linear matrix equation. Selected numerical examples of perturbed systems for different cases of perturbation parameters from the literature are presented, which demonstrate the efficiency of present method and also confirm how the developed algorithm is better than existing numerical methods.
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  • 6
405-415
  • English

REFERENCES

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