Numerical investigation for the fractional model of pollution for a system of lakes using the SCM based on the Appell type Changhee polynomials

• DOI: 10.3934/math.20231592
• Publication Date: 2023-11-22T10:46:07Z
• Authors: Mohamed Adel; Mohamed M. Khader; Mohammed M. Babatin; Maged Z. Youssef
• Keywords: Collocation (remote sensing)

<abstract><p>This article proposed a useful simulation to investigate the Liouville-Caputo fractional order pollution model's solution behavior for network of three lakes connected by channels. A supposedly new approximation technique using Appell type Changhee polynomials (ACPs) was used treat periodic and linear input models. This work employs spectral collocation method based on properties ACPs. The given creates system algebraic equations from studied model. We verified efficiency suggested computing residual error function. compared results those obtained fourth-order Runge-Kutta (RK4). Our findings confirmed that provides straightforward efficient tool solve such problems. key benefit is it only requires few easy steps, doesn't produce secular terms rely perturbation parameter.</p></abstract>