Rational Spectral Collocation Combined with Singularity Separation Method for Second-Order Singular Perturbation Problems
نویسندگان
چکیده
Novel rational spectral collocation is presented in combination with singularity separation method for the second-order singularly perturbed boundary-value problems. The solution form u = w + υ; where of corresponding third problem and υ a singular function explicit expression. auxiliary solved by combined asymptotic theory (RSCAT). According to analysis, parameters sinh-transformation can be determined according location width boundary layers. correction conditions original problem. numerical experiments were carried out demonstrate computational efficiency accuracy proposed method.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2023
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-023-06347-8