An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation

Ali Uğur Sazaklıoğlu

doi:10.33187/jmsm.1970461

An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation

Abstract

In the present paper, a spacewise inverse source problemfor a linear multidimensional parabolic equation is considered. The main aimof the paper is to suggest an efficient numerical method based on finitedifferences for the considered problem. Furthermore, a couple of rigorousstability estimates are derived in terms of stability analysis of thesuggested numerical method. Finally, to exhibit the capability ofthe numerical method a comprehensive and illustrative numerical discussion,wherein the method is compared with another method in the literatureregarding the accuracy and computational cost, is given.

Keywords

Backward in time, Finite difference method, Inverse source problem, Numerical solution, Parabolic equation, Stability

References

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Details

Primary Language

English

Subjects

Partial Differential Equations, Applied Mathematics (Other)

Journal Section

Research Article

Authors

Ali Uğur Sazaklıoğlu ^*
0000-0002-9025-9061
Türkiye

Early Pub Date

September 26, 2026

Publication Date

September 29, 2026

Submission Date

June 13, 2026

Acceptance Date

September 25, 2026

Published in Issue

Year 2026 Volume: 9 Number: 3

DOI

https://doi.org/10.33187/jmsm.1970461

IZ

https://izlik.org/JA36KC43JF

APA

Sazaklıoğlu, A. U. (2026). An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation. Journal of Mathematical Sciences and Modelling, 9(3), 219-233. https://doi.org/10.33187/jmsm.1970461

AMA

1.Sazaklıoğlu AU. An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation. Journal of Mathematical Sciences and Modelling. 2026;9(3):219-233. doi:10.33187/jmsm.1970461

Chicago

Sazaklıoğlu, Ali Uğur. 2026. “An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation”. Journal of Mathematical Sciences and Modelling 9 (3): 219-33. https://doi.org/10.33187/jmsm.1970461.

EndNote

Sazaklıoğlu AU (September 1, 2026) An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation. Journal of Mathematical Sciences and Modelling 9 3 219–233.

IEEE

[1]A. U. Sazaklıoğlu, “An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation”, Journal of Mathematical Sciences and Modelling, vol. 9, no. 3, pp. 219–233, Sept. 2026, doi: 10.33187/jmsm.1970461.

ISNAD

Sazaklıoğlu, Ali Uğur. “An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation”. Journal of Mathematical Sciences and Modelling 9/3 (September 1, 2026): 219-233. https://doi.org/10.33187/jmsm.1970461.

JAMA

1.Sazaklıoğlu AU. An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation. Journal of Mathematical Sciences and Modelling. 2026;9:219–233.

MLA

Sazaklıoğlu, Ali Uğur. “An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation”. Journal of Mathematical Sciences and Modelling, vol. 9, no. 3, Sept. 2026, pp. 219-33, doi:10.33187/jmsm.1970461.

Vancouver

1.Ali Uğur Sazaklıoğlu. An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation. Journal of Mathematical Sciences and Modelling. 2026 Sep. 1;9(3):219-33. doi:10.33187/jmsm.1970461

29237 Journal of Mathematical Sciences and Modelling 29238

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An Efficient Numerical Method for a Spacewise Inverse Source Problem for a Multidimensional Parabolic Equation

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Early Pub Date

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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