Numerical solution of nonlinear diffusion-reaction in porous catalysts using quantum spectral successive linearization method

Iranian Journal of Numerical Analysis and Optimization

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 مرداد 1404

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2025.94329.1677

نویسنده

Saeid Abbasbandy^*

Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.

چکیده

Significant advances in quantum computing science have been achieved through the development of general-purpose quantum solvers for linear differential equations in several studies. This study employs a hybrid quantum-spectral approach to analyze nonlinear reaction-diffusion dynamics in porous catalysts. Two distinct forms of nonlinearity in the model are examined. The successive linearization method (SLM) is applied to linearize the governing equations. Within an iterative framework, the final quantum state is constructed by progressively integrating the quantum state from each iteration, enabled by an efficient quantum algorithm. Numerical simulations validate the method’s efficacy, showing favorable agreement with existing literature. Moreover, the approach delivers accurate solutions even for large Thiele modulus values.

کلیدواژه‌ها

Catalyst pellet؛ Diffusion and reaction؛ Thiele modulus؛ Nonlinear reactive transport model