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1978•International Journal of Mathematics and Mathematical SciencesOpen access

Singular perturbation for nonlinear boundary‐value problems

Rina Ling

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Abstract

Asymptotic solutions of a class of nonlinear boundary‐value problems are studied. The problem is a model arising in nuclear energy distribution. For large values of the parameter, the differential equations are of the singular‐perturbation type and approximations are constructed by the method of matched asymptotic expansions.

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Asymptotic solutions of a class of nonlinear boundary‐value problems are studied. The problem is a model arising in nuclear energy distribution. For large values of the parameter, the differential equations are of the singular‐perturbation type and approximations are constructed by the method of matched asymptotic expansions.

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Available abstract

Asymptotic solutions of a class of nonlinear boundary‐value problems are studied. The problem is a model arising in nuclear energy distribution. For large values of the parameter, the differential equations are of the singular‐perturbation type and approximations are constructed by the method of matched asymptotic expansions.

Key concepts: Mathematics, Singular perturbation, Method of matched asymptotic expansions, Boundary value problem, Nonlinear system, Mathematical analysis, Perturbation (astronomy), Asymptotic expansion

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