An efficient analytical iterative technique for solving nonlinear differential equations

DOI10.1007/s40314-021-01563-xzbMath1476.34075OpenAlexW3181445157WikidataQ115373600 ScholiaQ115373600MaRDI QIDQ2245006

Yanyan Li

Publication date: 12 November 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01563-x

zbMATH Keywords

nonlinear differential equationsquasilinearizationPicard's methodanalytical approximate solutions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (1)

An efficient technique based on Green's function for solving two-point boundary value problems and its convergence analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An effective computational technique for a class of Lane-Emden equations
• A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations
• Efficient high-order methods based on golden ratio for nonlinear systems
• B-spline solution of non-linear singular boundary value problems arising in physiology
• Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• A numerical approach to nonlinear two-point boundary value problems for ODEs
• The solution of multipoint boundary value problems by the optimal homotopy asymptotic method
• Pointwise solution bounds for a class of singular diffusion problems in physiology
• A review of the decomposition method in applied mathematics
• Difference equations in Banach spaces
• An introduction to nonlinear boundary value problems
• Homotopy perturbation technique
• An effective scheme for solving a class of nonlinear doubly singular boundary value problems through quasilinearization approach
• A new numerical approach for solving a class of singular two-point boundary value problems
• An efficient iterative method for solving Bratu-type equations
• Cubic spline for a class of nonlinear singular boundary value problems arising in physiology
• A computationally efficient iterative scheme for solving fourth-order boundary value problems
• 500 Examples and Problems of Applied Differential Equations

This page was built for publication: An efficient analytical iterative technique for solving nonlinear differential equations