ICCM Conferences, The 8th International Conference on Computational Methods (ICCM2017)

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Solving nonlinear singular boundary value problems using a newly constructed scaling function
Yanan Liu

Last modified: 2017-07-01

Abstract


In this paper, a scaling function constructed using special filter coefficients is used for solution of nonlinear singular boundary value problems. The basis functions in interval originated from the newly constructed scaling function are used in function approximation, Galerkin method and iteration approach are used for solution. Some numerical examples are given to demonstrate the validity of the technique. Numerical results prove that the new basis functions have good approximation ability and the present method is very efficient and highly accurate in solving nonlinear singular boundary value problems.

 


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