Application of crank-nicolson method to a random component heat equation

Halil Anaç; Mehmet Merdan; Tülay Kesemen

Application of crank-nicolson method to a random component heat equation

Abstract

In this study, the solution of a random component heat equation is obtained by using Crank-Nicolson Method. The initial condition of this equation is examined by Normal distribution. The expected value and variance of solution of this equation are obtained. Crank-Nicolson method is applied to analyze the solution of this equation. Also, the solution and the graphs of the expected value and variance are obtained by using MATLAB software. The results of the heat equation are compared with random characteristics of this equation. Firstly, a random component heat equation is solved by this method.

Keywords

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Halil Anaç This is me
0000-0002-1316-3947
Türkiye

Mehmet Merdan This is me
0000-0002-8509-3044
Türkiye

Tülay Kesemen This is me
0000-0002-8807-5677
Türkiye

Publication Date

March 27, 2020

Submission Date

October 30, 2019

Acceptance Date

January 22, 2020

Published in Issue

Year 2020 Volume: 38 Number: 1

IZ

https://izlik.org/JA89ZF74YH

Cite

RIS / Bibtex

APA

Anaç, H., Merdan, M., & Kesemen, T. (2020). Application of crank-nicolson method to a random component heat equation. Sigma Journal of Engineering and Natural Sciences, 38(1), 475-480. https://izlik.org/JA89ZF74YH

AMA

1.Anaç H, Merdan M, Kesemen T. Application of crank-nicolson method to a random component heat equation. SIGMA. 2020;38(1):475-480. https://izlik.org/JA89ZF74YH

Chicago

Anaç, Halil, Mehmet Merdan, and Tülay Kesemen. 2020. “Application of Crank-Nicolson Method to a Random Component Heat Equation”. Sigma Journal of Engineering and Natural Sciences 38 (1): 475-80. https://izlik.org/JA89ZF74YH.

EndNote

Anaç H, Merdan M, Kesemen T (March 1, 2020) Application of crank-nicolson method to a random component heat equation. Sigma Journal of Engineering and Natural Sciences 38 1 475–480.

IEEE

[1]H. Anaç, M. Merdan, and T. Kesemen, “Application of crank-nicolson method to a random component heat equation”, SIGMA, vol. 38, no. 1, pp. 475–480, Mar. 2020, [Online]. Available: https://izlik.org/JA89ZF74YH

ISNAD

Anaç, Halil - Merdan, Mehmet - Kesemen, Tülay. “Application of Crank-Nicolson Method to a Random Component Heat Equation”. Sigma Journal of Engineering and Natural Sciences 38/1 (March 1, 2020): 475-480. https://izlik.org/JA89ZF74YH.

JAMA

1.Anaç H, Merdan M, Kesemen T. Application of crank-nicolson method to a random component heat equation. SIGMA. 2020;38:475–480.

MLA

Anaç, Halil, et al. “Application of Crank-Nicolson Method to a Random Component Heat Equation”. Sigma Journal of Engineering and Natural Sciences, vol. 38, no. 1, Mar. 2020, pp. 475-80, https://izlik.org/JA89ZF74YH.

Vancouver

1.Halil Anaç, Mehmet Merdan, Tülay Kesemen. Application of crank-nicolson method to a random component heat equation. SIGMA [Internet]. 2020 Mar. 1;38(1):475-80. Available from: https://izlik.org/JA89ZF74YH