A new augmented singular transform and its partial Newton-correction method for finding more solutions

DOI10.1007/s10915-016-0314-6zbMath1384.65075OpenAlexW2551908191MaRDI QIDQ1704841

Zhi-Qiang Wang, Jian Xin Zhou, Zhao-xiang Li

Publication date: 13 March 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0314-6

zbMATH Keywords

convergencenumerical examplemultiple solutionshomotopy continuation methodaugmented singular transformnonvariational nonlinear convection-diffusion equationnonvariational problemspartial Newton-correction method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (7)

An improved local-min-orthogonal method for finding multiple solutions to nonlinear elliptic PDEs ⋮ HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations ⋮ Partial Newton-correction method for multiple fixed points of semi-linear differential operators by Legendre-Gauss-Lobatto pseudospectral method ⋮ Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs ⋮ Unnamed Item ⋮ A new augmented singular transform and its partial Newton-correction method for finding more solutions to nonvariational quasilinear elliptic PDEs ⋮ Extended Newton-type method for nonlinear functions with values in a cone

Uses Software

• PLTMGC

Cites Work

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