2016
DOI: 10.1016/j.cam.2015.12.003
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Exact three-point difference scheme for singular nonlinear boundary value problems

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Cited by 7 publications
(2 citation statements)
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“…The shooting strategies are important for using IVP algorithms to solve BVPs, but the computational mechanisms involve additional costs to find out high order initial conditions [2][3][4]. A wellknown direct method for BVPs is the finite difference method widely used in the literature [5][6][7][8][9][10]. Even finite difference methods produce acceptable results for many BVPs, their local order refinement (p-refinement) is not easy task due to the direct disconnection of the higher order formulations.…”
Section: Introductionmentioning
confidence: 99%
“…The shooting strategies are important for using IVP algorithms to solve BVPs, but the computational mechanisms involve additional costs to find out high order initial conditions [2][3][4]. A wellknown direct method for BVPs is the finite difference method widely used in the literature [5][6][7][8][9][10]. Even finite difference methods produce acceptable results for many BVPs, their local order refinement (p-refinement) is not easy task due to the direct disconnection of the higher order formulations.…”
Section: Introductionmentioning
confidence: 99%
“…The special interest concerning the problems () and () is also connected with the fact that three‐point difference schemes of high order for singular boundary‐value problems in ODEs 21,22 require solving associated IVPs. From other side, any stationary diffusion equation in the cylindrical or spherical coordinate systems in the case of the axial or central symmetry accordingly are reduced to singular boundary value problems (BVPs) and IVPs for Equation ().…”
Section: Introductionmentioning
confidence: 99%