Quintic Spline Solutions of Fourth Order Boundary-Value Problems

2003/06/25 by Shahid S. Siddiqi, Siddiqi, Shahid S., Ghazala Akram +1
Engineering · Mathematics · #AMS Classification: 65L10 #Advanced Numerical Analysis Techniques #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.math/0306357

openalex publication_date 2003/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper Quintic Spline is defined for the numerical solutions of the fourth order linear special case Boundary Value Problems. End conditions are also derived to complete the definition of spline.The algorithm developed approximates the solutions, and their higher order derivatives of differential equations. Numerical illustrations are tabulated to demonstrate the practical usefulness of method.

Related

• Non-Polynomial Quintic Spline for Numerical Solution of Fourth--Order Time Fractional Partial Differential Equations
• On the Numerical Solution of Fourth-Order Linear Two-Point Boundary\n Value Problems
• Numerical Solution of The Seventh Order Boundary Value Problems using B-spline Method
• The Fourth-Order Type Linear Ordinary Differential Equations
• Numerical Solution of a Singularly - Perturbed Boundary-Value Problems by Using A Non-Polynomial Spline