METHOD OF LINES FOR A LOADED PARABOLIC EQUATION

Authors

DOI:

https://doi.org/10.26577/JMMCS2025125101
        240 225

Keywords:

loaded parabolic equations, two-point boundary value problem, method of lines, convergence, parameterization method

Abstract

In a closed domain, a two-point boundary value problem for loaded parabolic equations is considered. The method of lines with respect to the variable x is used to solve this problem. As a result of this approach, a discretized problem is formulated. The discretized problem is reduced to a two-point boundary value problem for loaded differential equations (LDE). The solution of the resulting boundary value problem is performed using the parameterization method developed by professor Dzhumabaev. The study demonstrates the relationship between the boundary value problem for the loaded parabolic equation and the related discretized problem.

 

Author Biographies

Kuanysh Saule, Al-Farabi Kazakh National University, Almaty, Kazakhstan

Doctoral student, Teacher

Assanova Anar, Institute of Mathematics and Mathematical Modeling; Kazakh National Women's Teacher Training University, Almaty, Kazakhstan

Dr. Phys.-Math. Sc., professor, Principal Researcher 

Kadirbayeva Zhazira, Institute of Mathematics and Mathematical Modeling; Kazakh National Women's Teacher Training University, Almaty, Kazakhstan

Candidate of Phys.-Math.Sc., professor, Leading Researcher 

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How to Cite

Kuanysh, S., Assanova, A., & Kadirbayeva, Z. (2025). METHOD OF LINES FOR A LOADED PARABOLIC EQUATION. Journal of Mathematics, Mechanics and Computer Science, 125(1). https://doi.org/10.26577/JMMCS2025125101