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Solving nonlinear problems with singular initial conditions using a perturbed scalar homotopy method

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Publication:1787878
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DOI10.1515/IJNSNS-2013-0029zbMath1401.35004OpenAlexW2044027224MaRDI QIDQ1787878

Yung-Hsien Tsai, Cheng-Yu Ku

Publication date: 5 October 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2013-0029


zbMATH Keywords

Newton's methodhomotopy methodnon-linear algebraic equationssingular Jacobianscalar homotopy function


Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Nonlinear higher-order PDEs (35G20) Other special methods applied to PDEs (35A25) Topological and monotonicity methods applied to PDEs (35A16)


Related Items (2)

Numerical solutions for groundwater flow in unsaturated layered soil with extreme physical property contrasts ⋮ A class of exact solution of \((3+1)\)-dimensional generalized shallow water equation system







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