New higher-order implict method for approximating solutions of the initial value problems
From MaRDI portal
Publication:6586135
DOI10.1007/s12190-024-02087-3zbMATH Open1545.65286MaRDI QIDQ6586135
Iqbal M. Batiha, Mohammad Wajeeh Alomari, Shaher Momani
Publication date: 12 August 2024
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)
Cites Work
- Unnamed Item
- Unnamed Item
- Reprint of: ``Approximate Taylor methods for ODEs
- Darboux's formula with integral remainder of functions with two independent variables
- On a class of polynomes.
- Approximate Taylor methods for ODEs
- Two-point Ostrowski's inequality
- Two-point Ostrowski and Ostrowski-Grüss type inequalities with applications
- Computational study on the dynamics of fractional order differential equations with applications
- Mathematical analysis of the Cauchy type dynamical system under piecewise equations with Caputo fractional derivative
- An order-adaptive compact approximation Taylor method for systems of conservation laws
- A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic
- Taylor collocation method and convergence analysis for the Volterra-Fredholm integral equations
- A Remark on Stirling's Formula
- A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
- Solving Ordinary Differential Equations Using Taylor Series
- On new estimation of the remainder in generalized Taylor's formula
- On Extensions of Taylor's Formula
- Generalized Taylor Series, Quadrature Formulas, and a Formula by Kronecker
- A Generalization of Taylor's Expansion
- INVESTIGATION OF INTEGRAL BOUNDARY VALUE PROBLEM WITH IMPULSIVE BEHAVIOR INVOLVING NON-SINGULAR DERIVATIVE
- Quadratized Taylor series methods for ODE numerical integration
This page was built for publication: New higher-order implict method for approximating solutions of the initial value problems