A FINITE DIFFERENCE METHOD FOR THE SOLUTION OF THIRD ORDER BOUNDARY VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS

In this paper, we propose an efficient finite difference method to solve third order boundary value problems. Analysis proves that the proposed method have at least quadratic convergence. Numerical results confirm the accuracy and efficiency of the proposed method.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-11-27
DOI
https://doi.org/10.5281/zenodo.14230837
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

A FINITE DIFFERENCE METHOD FOR THE SOLUTION OF THIRD ORDER BOUNDARY VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS

Zenodo (CERN European Organization for Nuclear Research)
Fractional Differential Equations Solutions
article

A FINITE DIFFERENCE METHOD FOR THE SOLUTION OF THIRD ORDER BOUNDARY VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS

article en

Abstract

In this paper, we propose an efficient finite difference method to solve third order boundary value problems. Analysis proves that the proposed method have at least quadratic convergence. Numerical results confirm the accuracy and efficiency of the proposed method.

Zenodo (CERN European Organization for Nuclear Research)
University of Delhi (IN)
Openalex Percentile: Top 69%
Fractional Differential Equations Solutions
DOIOpen Access PDFOpenAlex
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A FINITE DIFFERENCE METHOD FOR THE SOLUTION OF THIRD ORDER BOUNDARY VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS