A spectral quasilinearization parametric method for nonlinear two-point boundary value problems

DOI10.1007/s40840-017-0467-yzbMath1407.34027OpenAlexW2585781824MaRDI QIDQ1712762

Morteza Gachpazan, Asghar Ghorbani

Publication date: 31 January 2019

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-017-0467-y

zbMATH Keywords

nonlinear boundary conditionsquasilinearization methodvan der Pol equationtwo-point boundary value problemsspectral parametric iteration method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items

A novel method for solving nonlinear Volterra integro-differential equation systems ⋮ An efficient technique based on Green's function for solving two-point boundary value problems and its convergence analysis ⋮ A Multiple Variational Iteration Method for Nonlinear Two-Point Boundary Value Problems with Nonlinear Conditions

Uses Software

• Matlab
• Differentiation Matrix Suite

Cites Work

• Unnamed Item
• Unnamed Item
• A modified parametric iteration method for solving nonlinear second order BVPs
• A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem
• A piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system
• A new spectral-homotopy analysis method for solving a nonlinear second order BVP
• Toward a new analytical method for solving nonlinear fractional differential equations
• Finite Difference Collocation Methods for Nonlinear Two Point Boundary Value Problems
• A Finite Element Method for a Boundary Value Problem of Mixed Type
• Beyond Perturbation
• Spectral Methods in MATLAB