Formulation of gas diffusion dynamics for thin film semiconductor gas sensor based on simple reaction–diffusion equation

2003 ◽  
Vol 96 (1-2) ◽  
pp. 226-233 ◽  
Author(s):  
Naoki Matsunaga ◽  
Go Sakai ◽  
Kengo Shimanoe ◽  
Noboru Yamazoe
Keyword(s):  
Thin Film ◽  
Diffusion Equation ◽  
Gas Sensor ◽  
Reaction Diffusion ◽  
Gas Diffusion ◽  
Reaction Diffusion Equation ◽  
Simple Reaction ◽  
Semiconductor Gas Sensor ◽  
Diffusion Dynamics

Theory of gas-diffusion controlled sensitivity for thin film semiconductor gas sensor

2001 ◽  
Vol 80 (2) ◽  
pp. 125-131 ◽  
Author(s):  
Go Sakai ◽  
Naoki Matsunaga ◽  
Kengo Shimanoe ◽  
Noboru Yamazoe
Keyword(s):  
Thin Film ◽  
Gas Sensor ◽  
Gas Diffusion ◽  
Semiconductor Gas Sensor ◽  
Diffusion Controlled

Diffusion equation-based study of thin film semiconductor gas sensor-response transient

2002 ◽  
Vol 83 (1-3) ◽  
pp. 216-221 ◽  
Author(s):  
Naoki Matsunaga ◽  
Go Sakai ◽  
Kengo Shimanoe ◽  
Noboru Yamazoe
Keyword(s):  
Thin Film ◽  
Diffusion Equation ◽  
Gas Sensor ◽  
Sensor Response ◽  
Semiconductor Gas Sensor

scholarly journals Numerical Analysis WSGD Scheme for One- and Two-Dimensional Distributed Order Fractional Reaction–Diffusion Equation with Collocation Method via Fractional B-Spline

2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Mohammad Ramezani
Keyword(s):  
Diffusion Equation ◽  
Collocation Method ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Two Dimensional ◽  
Algebraic Equations ◽  
B Spline ◽  
Computational Work ◽  
Distributed Order ◽  
Fractional Reaction

AbstractThe main propose of this paper is presenting an efficient numerical scheme to solve WSGD scheme for one- and two-dimensional distributed order fractional reaction–diffusion equation. The proposed method is based on fractional B-spline basics in collocation method which involve Caputo-type fractional derivatives for $$0 < \alpha < 1$$ 0 < α < 1 . The most significant privilege of proposed method is efficient and quite accurate and it requires relatively less computational work. The solution of consideration problem is transmute to the solution of the linear system of algebraic equations which can be solved by a suitable numerical method. The finally, several numerical WSGD Scheme for one- and two-dimensional distributed order fractional reaction–diffusion equation.

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