A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems

DOI10.1016/j.cam.2021.113419zbMath1481.65111OpenAlexW3127749888MaRDI QIDQ2059612

M. A. Rufai, Higinio Ramos

Publication date: 14 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113419

zbMATH Keywords

ordinary differential equationshybrid block methodthird-order boundary value problemslinear and non-linear problemscollocation and interpolation techniques

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (4)

3-point block backward differentiation formula with an off-step point for the solutions of stiff chemical reaction problems ⋮ An adaptive optimized Nyström method for second‐order IVPs ⋮ Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator ⋮ Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-polynomial quintic spline solution for the system of third order boundary-value problems
• Solving third-order obstacle problems with quartic \(B\)-splines
• Existence and uniqueness of solutions for third-order nonlinear boundary value problems
• Cubic splines method for a system of third-order boundary value problems
• A novel fixed point iteration method for the solution of third order boundary value problems
• High-order finite difference schemes for the solution of second-order BVPs
• Direct integrators for the general third-order ordinary differential equations with an application to the Korteweg-de Vries equation
• A second-order finite-difference method for the Falkner--Skan equation
• A third-derivative two-step block Falkner-type method for solving general second-order boundary-value systems
• Numerical solution of Bratu's and related problems using a third derivative hybrid block method
• Block hybrid method for the numerical solution of fourth order boundary value problems
• Numerical solution of boundary value problems by using an optimized two-step block method
• Existence and numerical method for nonlinear third-order boundary value problem in the reproducing kernel space
• Symmetries, first integrals and phase planes of a third-order ordinary differential equation from thin film flow
• Numerical solution of a third-order nonlinear boundary-value problem by automatic differentiation
• Quartic spline solution of a third order singularly perturbed boundary value problem
• A Numerical and Asymptotic Study of Some Third-Order Ordinary Differential Equations Relevant to Draining and Coating Flows
• Finite difference solutions of boundary-layer type equations
• A Collocation Solver for Mixed Order Systems of Boundary Value Problems
• A P-Stable Linear Multistep Method For Solving General Third Order Ordinary Differential Equations
• A numerical method for third-order non-linear boundary-value problems in engineering
• One-Step Hybrid Block Method Containing Third Derivatives and Improving Strategies for Solving Bratu’s and Troesch’s Problems
• Scientific computing with \(Mathematica\). Mathematical problems for ordinary differential equations. Incl. 1 CD-ROM

This page was built for publication: A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems