A numerical solution of an inverse diffusion problem based on operational matrices of orthonormal polynomials

2021 ◽  
Author(s):  
Kamal Rashedi
Keyword(s):  
Numerical Solution ◽  
Diffusion Problem ◽  
Operational Matrices ◽  
Orthonormal Polynomials ◽  
Inverse Diffusion

scholarly journals Numerical solution of an inverse diffusion problem for the moisture transfer coefficient in a porous material

2007 ◽  
Vol 41 (2) ◽  
pp. 335-344 ◽  
Author(s):  
I. V. Amirkhanov ◽  
E. Pavlušová ◽  
M. Pavluš ◽  
T. P. Puzynina ◽  
I. V. Puzynin ◽  
...  
Keyword(s):  
Porous Material ◽  
Transfer Coefficient ◽  
Numerical Solution ◽  
Moisture Transfer ◽  
Diffusion Problem ◽  
Moisture Transfer Coefficient ◽  
Inverse Diffusion

scholarly journals Efficient difference scheme for numerical solution of a convective diffusion problem

2008 ◽  
Vol 44 (2) ◽  
pp. 308-308
Author(s):  
V. A. Prusov ◽  
A. E. Doroshenko ◽  
R. I. Chernysh ◽  
L. N. Guk
Keyword(s):  
Difference Scheme ◽  
Numerical Solution ◽  
Convective Diffusion ◽  
Diffusion Problem

Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

2014 ◽  
Vol 6 (2) ◽  
pp. 247-260 ◽  
Author(s):  
M. H. Heydari ◽  
M. R. Hooshmandasl ◽  
F. Mohammadi
Keyword(s):  
Numerical Solution ◽  
Fractional Integration ◽  
Telegraph Equation ◽  
Operational Matrices ◽  
Two Dimensional ◽  
Legendre Wavelets ◽  
Fractional Telegraph Equation ◽  
Manageable Method

AbstractIn this paper, we develop an accurate and efficient Legendre wavelets method for numerical solution of the well known time-fractional telegraph equation. In the proposed method we have employed both of the operational matrices of fractional integration and differentiation to get numerical solution of the time-telegraph equation. The power of this manageable method is confirmed. Moreover the use of Legendre wavelet is found to be accurate, simple and fast.

Quasi-solution approach for a two dimensional nonlinear inverse diffusion problem

2013 ◽  
Vol 219 (23) ◽  
pp. 10956-10960 ◽  
Author(s):  
Yiliang Liu ◽  
Salih Tatar ◽  
Suleyman Ulusoy
Keyword(s):  
Diffusion Problem ◽  
Two Dimensional ◽  
Solution Approach ◽  
Inverse Diffusion
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