In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers
Control Theory & Systems
Ritz-Approximation Method for Solving Variable-Order Fractional Mobile-Immobile Advection-Dispersion Equations

Sommayeh Sheykhi; Mashallah Matinfar; Mohammad Arab Firoozjaee

Volume 11, Issue 1 , January 2026, , Pages 101-114

https://doi.org/10.30473/coam.2025.72692.1267

Abstract
  The advection-dispersion, variable-order differential equations have a vast application in fluid physics and energy systems. ‎In this study, ‎we propose a Ritz-approximation method using shifted Legendre polynomials to construct approximate numerical solutions for these equations‎. ‎The ...  Read More

Ritz-Approximation Method for Solving Variable-Order Fractional Mobile-Immobile Advection-Dispersion Equations