A block hybrid integrator for numerically solving fourth-order initial value problems

DOI10.1016/j.amc.2018.10.080zbMath1429.65147OpenAlexW2901677984MaRDI QIDQ2008461

Mark I. Modebei, Rapheal B. Adeniyi, Higinio Ramos, Samuel N. Jator

Publication date: 25 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.080

zbMATH Keywords

finite differencesblock methodfourth order initial value problemlinear multistep hybrid method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications ⋮ Unnamed Item ⋮ A novel class of collocation methods based on the weighted integral form of ODEs ⋮ A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease ⋮ Unnamed Item ⋮ DEVELOPMENT AND IMPLEMENTATION OF A TENTH-ORDER HYBRID BLOCK METHOD FOR SOLVING FIFTH-ORDER BOUNDARY VALUE PROBLEMS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving second order initial value problems by a hybrid multistep method without predictors
• Block hybrid collocation method with application to fourth order differential equations
• Runge-Kutta type methods for directly solving special fourth-order ordinary differential equations
• A computational study of the boundary value methods and the block unification methods for \(y = f(x, y, y')\)
• An accurate block hybrid collocation method for third order ordinary differential equations
• Application of single step with three generalized hybrid points block method for solving third order ordinary differential equations
• Computational Methods in Engineering: A Variety ofPrimal & Mixed Methods, with Global & LocalInterpolations, for Well-Posed or Ill-Posed BCs
• Convergence and stability in the numerical integration of ordinary differential equations
• Algorithmic collocation approach for direct solution of fourth-order initial-value problems of ordinary differential equations
• Sandwich Beam Analysis

This page was built for publication: A block hybrid integrator for numerically solving fourth-order initial value problems