Jacobi‐Picard iteration method for the numerical solution of nonlinear initial value problems

DOI10.1002/mma.5900zbMath1452.65121OpenAlexW2989867468MaRDI QIDQ5116827

Ghasem Barid Loghmani, Xiao-Li Bai, Mohammad Tafakkori-Bafghi, Mohammad Heydari

Publication date: 19 August 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5900

zbMATH Keywords

initial value problemsPicard iteration methodshifted Jacobi polynomialsJacobi-Gauss quadrature formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical quadrature and cubature formulas (65D32) Numerical approximation and evaluation of special functions (33F05)

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Numerical solution of two-point BVPs in infinite-horizon optimal control theory: a combined quasilinearization method with exponential Bernstein functions ⋮ Numerical solution of two-point nonlinear boundary value problems via Legendre-Picard iteration method ⋮ The discontinuous Galerkin method for general nonlinear third-order ordinary differential equations

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