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Volume 11, Issue 3
A High-Order Efficient Optimised Global Hybrid Method for Singular Two-Point Boundary Value Problems

Higinio Ramos & Gurjinder Singh

DOI: 10.4208/eajam.251220.291220

East Asian J. Appl. Math., 11 (2021), pp. 515-539.

Published online: 2021-05

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  • Abstract

An optimised global hybrid block method for second order singular boundary value problems with two boundary conditions is developed. A special attention is paid to the problems having solutions with singularities at the left end of the interval considered. The method is a combination of the optimised hybrid formulas in [43] and a new set of formulas. The ad hoc procedure is used just to pass the singularity and the main formulas are applied to obtain approximations at other discrete points. Numerical experiments show that the method is a good alternative for the problems studied.

  • Keywords

Singular boundary value problem, hybrid methods, block methods, optimisation technique.

  • AMS Subject Headings

65L10, 65L10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-11-515, author = {Ramos , Higinio and Singh , Gurjinder}, title = {A High-Order Efficient Optimised Global Hybrid Method for Singular Two-Point Boundary Value Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {11}, number = {3}, pages = {515--539}, abstract = {

An optimised global hybrid block method for second order singular boundary value problems with two boundary conditions is developed. A special attention is paid to the problems having solutions with singularities at the left end of the interval considered. The method is a combination of the optimised hybrid formulas in [43] and a new set of formulas. The ad hoc procedure is used just to pass the singularity and the main formulas are applied to obtain approximations at other discrete points. Numerical experiments show that the method is a good alternative for the problems studied.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.251220.291220}, url = {http://global-sci.org/intro/article_detail/eajam/19139.html} }
TY - JOUR T1 - A High-Order Efficient Optimised Global Hybrid Method for Singular Two-Point Boundary Value Problems AU - Ramos , Higinio AU - Singh , Gurjinder JO - East Asian Journal on Applied Mathematics VL - 3 SP - 515 EP - 539 PY - 2021 DA - 2021/05 SN - 11 DO - http://doi.org/10.4208/eajam.251220.291220 UR - https://global-sci.org/intro/article_detail/eajam/19139.html KW - Singular boundary value problem, hybrid methods, block methods, optimisation technique. AB -

An optimised global hybrid block method for second order singular boundary value problems with two boundary conditions is developed. A special attention is paid to the problems having solutions with singularities at the left end of the interval considered. The method is a combination of the optimised hybrid formulas in [43] and a new set of formulas. The ad hoc procedure is used just to pass the singularity and the main formulas are applied to obtain approximations at other discrete points. Numerical experiments show that the method is a good alternative for the problems studied.

Higinio Ramos & Gurjinder Singh. (2021). A High-Order Efficient Optimised Global Hybrid Method for Singular Two-Point Boundary Value Problems. East Asian Journal on Applied Mathematics. 11 (3). 515-539. doi:10.4208/eajam.251220.291220
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