The Cauchy problem for singularly perturbed weakly nonlinear second-order differential equations: an iterative method

DOI10.3103/S0278641917030037zbMath1394.65049OpenAlexW2751344667MaRDI QIDQ1706036

E. E. Bukzhalev

Publication date: 20 March 2018

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641917030037

zbMATH Keywords

singular perturbationsBanach fixed-point theoremboundary functionsmethod of asymptotical iterations

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

Iteration method of approximate solution of the Cauchy problem for a singularly perturbed weakly nonlinear differential equation of an arbitrary order

Cites Work

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