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An optimal computational method for a general class of nonlinear boundary value problems.
- Source :
- Journal of Mathematical Chemistry; Oct2023, Vol. 61 Issue 9, p1842-1878, 37p
- Publication Year :
- 2023
-
Abstract
- This paper deals with the design and analysis of a robust numerical scheme based on an improvised quartic B-spline collocation (IQBSC) method for a class of nonlinear derivative dependent singular boundary value problems (DDSBVP). The convergence analysis of the method is studied by means of Green's function approach. It should be pointed out that the numerical order of convergence of standard quartic B-spline collocation (SQBC) scheme for second-order boundary value problems (BVPs) is four, however, our proposed IQBSC method is shown to be sixth order convergence. To illustrate the applicability and accuracy of the method, we consider eight test problems. The obtained results are compared to those from some existing numerical schemes in order to show the advantage of present method. It is shown that the rate of convergence of present numerical scheme is higher than that of some of existing numerical methods. The CPU time of the present numerical method is provided. [ABSTRACT FROM AUTHOR]
- Subjects :
- NONLINEAR boundary value problems
BOUNDARY value problems
NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 02599791
- Volume :
- 61
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Chemistry
- Publication Type :
- Academic Journal
- Accession number :
- 170398811
- Full Text :
- https://doi.org/10.1007/s10910-023-01493-5