A numerical approach based on Taylor polynomials for solving a class of nonlinear differential equations

DOI10.1155/2018/8256932zbMath1427.65120OpenAlexW2891937523MaRDI QIDQ1721501

Xianqiang Yang

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/8256932

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

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• Analytical approximations and Padé approximants for Volterra's population model
• A numerical approach for the solution of a class of singular boundary value problems arising in physiology
• A novel representation of the exact solution for differential algebraic equations system using residual power-series method
• On the solution of the Riccati equation by the Taylor matrix method
• Parameter identification of linear multi-delay systems via a hybrid of block-pulse functions and Taylor’s polynomials
• A new numerical algorithm for the Abel equation of the second kind
• A hybrid approach to parameter identification of linear delay differential equations involving multiple delays

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