Search

Your search keyword '"Koç, Dilara Altan"' showing total 6 results
Start Over Author "Koç, Dilara Altan" Publication Year Range Last 3 years
6 results on '"Koç, Dilara Altan"'

3. A STUDY ON THE INVESTIGATION OF THE TRAVELING WAVE SOLUTIONS OF THE MATHEMATICAL MODELS IN PHYSICS VIA (m + (1=G'))-EXPANSION METHOD.

Author

Koç, Dilara Altan, Gasimov, Yusif S., and Bulut, Hasan

Subjects
MATHEMATICAL physics, MATHEMATICAL models, NONLINEAR evolution equations, NONLINEAR equations, ION acoustic waves
Abstract

The article focuses on investigating traveling wave solutions of the Gardner equation in physics using the (m + (1/G0))-expansion method. It discusses the importance of nonlinear partial differential equations in various fields and explores different methods used to examine the Gardner equation, such as Riccati equations and generalized exponential rational function methods.

Published
2024
Full Text
View/download PDF

5. A NUMERICAL SCHEME FOR TIME-FRACTIONAL FOURTH-ORDER REACTION-DIFFUSION MODEL.

Author

Koç, Dilara Altan

Subjects
FRACTIONAL differential equations, FINITE difference method, FRACTIONAL calculus, HEAT equation, RATE coefficients (Chemistry), CAHN-Hilliard-Cook equation, FINITE differences
Abstract

In fractional calculus, the fractional differential equation is physically and theoretically important. In this article an efficient numerical process has been developed. Numerical solutions of the time fractional fourth order reaction diffusion equation in the sense of Caputo derivative is obtained by using the implicit method, which is a finite difference method and is developed by increasing the number of iterations. The advantage of the implicit difference scheme is unconditionally stable. The stability analysis and convergency have been proven. A numerical example has been presented, and the validity of the method is supported by tables and graphics. [ABSTRACT FROM AUTHOR]

Published
2023
Full Text
View/download PDF

6. A numerical algorithm for solving one-dimensional parabolic convection-diffusion equation

Author

Dilara Altan Koç, Yalçın Öztürk, Mustafa Gülsu, MÜ, Fen Fakültesi, Matematik Bölümü, and Koç, Dilara Altan

Subjects
1D parabolic convection, Strategy and Management, Mechanical Engineering, Metals and Alloys, Diffusion equation, Partial differential equation, Finite difference method, Industrial and Manufacturing Engineering
Abstract

A numerical method for solving one-dimensional (1D) parabolic convection–diffusion equation is provided. We consider the finite difference formulas with five points to obtain a numerical method. The proposed method converts the given equation, domain, and time interval into a discrete form. The numerical values of the solution are approximated by solving algebraic equations containing finite differences and values at these discrete points. The consistency, stability and convergence are investigated. On the other hand, some numerical examples illustrate the validity and applicability of the method. Finally, the numerical results are compared with the finite difference scheme’s three points.

Published
2023

Catalog

Books, media, physical & digital resources
See catalog results