Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions

Abdullah Ergün

doi:10.17776/csj.443898

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Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions

Abstract

In this study, the diffusion operator with discontinuity function and the jump conditions is considered. Under certain initial and discontinuity conditions, integral equations have been derived for the solutions. Integral representations, which is too useful for this type equation, have been presented.

Keywords

Diffusion Operator,Jump condition,Sturm-Liouville Equation

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Abdullah Ergün ^*
Türkiye

Publication Date

December 24, 2018

Submission Date

July 14, 2018

Acceptance Date

October 23, 2018

Published in Issue

Year 2018 Volume: 39 Number: 4

DOI

https://doi.org/10.17776/csj.443898

IZ

https://izlik.org/JA88EZ99KR

APA

Ergün, A. (2018). Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions. Cumhuriyet Science Journal, 39(4), 842-863. https://doi.org/10.17776/csj.443898

AMA

1.Ergün A. Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions. CSJ. 2018;39(4):842-863. doi:10.17776/csj.443898

Chicago

Ergün, Abdullah. 2018. “Integral Representation for Solution of Discontinuous Diffusion Operator With Jump Conditions”. Cumhuriyet Science Journal 39 (4): 842-63. https://doi.org/10.17776/csj.443898.

EndNote

Ergün A (December 1, 2018) Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions. Cumhuriyet Science Journal 39 4 842–863.

IEEE

[1]A. Ergün, “Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions”, CSJ, vol. 39, no. 4, pp. 842–863, Dec. 2018, doi: 10.17776/csj.443898.

ISNAD

Ergün, Abdullah. “Integral Representation for Solution of Discontinuous Diffusion Operator With Jump Conditions”. Cumhuriyet Science Journal 39/4 (December 1, 2018): 842-863. https://doi.org/10.17776/csj.443898.

JAMA

1.Ergün A. Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions. CSJ. 2018;39:842–863.

MLA

Ergün, Abdullah. “Integral Representation for Solution of Discontinuous Diffusion Operator With Jump Conditions”. Cumhuriyet Science Journal, vol. 39, no. 4, Dec. 2018, pp. 842-63, doi:10.17776/csj.443898.

Vancouver

1.Abdullah Ergün. Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions. CSJ. 2018 Dec. 1;39(4):842-63. doi:10.17776/csj.443898