A Numerical Approach to the Solution of the System of Second-Order Boundary-Value Problems

A Numerical Approach to the Solution of the System of Second-Order Boundary-Value Problems

Muhaiminul Islam Adnan

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Ashek Ahmed

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A Numerical Approach to the Solution of the System of Second-Order Boundary-Value Problems

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Abstract

In this paper, Galerkin method is presented to obtain the approximate solutions of the system of second order boundary value problems using piecewise continuous and differentiable Bernstein polynomials. Derivation of rigorous matrix formulations is exploited to solve the system of second order boundary value problems where, given boundary conditions are satisfied by Bernstein polynomials. The derived formulation is applied to solve the system of second order boundary value problems numerically. Results of numerical approximate solutions converge to the exact solutions monotonically with desired large significant accuracy.

References

12 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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How to Cite This Article

Muhaiminul Islam Adnan. 2019. \u201cA Numerical Approach to the Solution of the System of Second-Order Boundary-Value Problems\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F8): .

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GJSFR Volume 18 Issue F8
Pg. 11- 17

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 35A24

Submission ReceivedSeptember 29, 2018
Peer Review Double Blind
Handling Editor
Accepted October 20, 2018
Published November 2, 2018

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v1.2

Issue date

February 6, 2019

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Article Matrices

Total Score: 102

Country: Bangladesh

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Muhaiminul Islam Adnan, Ashek Ahmed (PhD/Dr. count: 0)

View Count (all-time): 169

Total Views (Real + Logic): 2670

Total Downloads (simulated): 1409

Publish Date: 2019 02, Wed

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Total Views: 2670

Total Downloads: 1409

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