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A Novel Analytical Method for Time Fractional Convection-diffusion Equation Through Clique Polynomials of the Cocktail Party Graph

Year: 2025

Type: article

Abstract: This paper is devoted to providing a new approach to solve time fractional convection-diffusion equation (TFCDE) by utilizing Clique polynomials of the Cocktail party graph and collocation points. The main advantage of this method is converting the TFCDE into a system of ordinary fractional differential and algebraic equations. At this stage, Residual power series method (RPSM) is used to determine the unknown functions of the obtained system. Convergence analysis is given to substantiate the importance of the suggested method. Two numerical examples are presented to illustrate the implementation and effectiveness of the proposed method.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240168

Authors: Mine Aylin Bayrak, Ali Demir, Ahmet Büyük

Institution: Kocaeli Üniversitesi

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533741

FWCI: 0.765

Cites:

Cited by: 1

Related to: 10