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Recurrence Method for Solving Singularly Perturbed Boundary Value Problems
Author(s) -
Lin B.,
Li K.,
Cheng Z.
Publication year - 2010
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2010.00489.x
Subject(s) - mathematics , boundary value problem , series (stratigraphy) , method of matched asymptotic expansions , mathematical analysis , taylor series , base (topology) , value (mathematics) , boundary (topology) , term (time) , physics , paleontology , statistics , quantum mechanics , biology
We base on Taylor series expansions to construct the numerical method for solving singularly perturbed boundary value problems. We use the trapezoid method to approximate the integrals and obtain three‐term recurrence relationship. The efficiency of the proposed method is demonstrated by test problems. The numerical result is found in a good agreement with exact solution.