H.N. Narang and R.K. Nekkanti (USA)
Wavelets, Wavelet-Galerkin, Capillary Porous Bodies, Finite Differences, Partial Differential Equations, Connection Coefficients. 0.
. The Wavelet solution for boundary value problems is relatively new and has been mainly restricted to the solutions in data compression, image processing and recently to the solution of differential equations with periodic boundary conditions. This paper is concerned with the wavelet-based Galerkin solution to time dependent two-point initial-boundary-value problems in heat and mass transfer in capillary porous bodies with non-periodic conditions. The wavelet method can offer several advantages in solving the initial-boundary-value problems than the traditional methods such as Fourier series, Finite Differences and Finite Elements by reducing the computational time near singularities because of its multi-resolution character. In order to demonstrate the wavelet technique to non-periodic initial-boundary-value problems, we extend our prior research of solution of parabolic problems to two Heat and Mass Transfer problems, the first with boundary conditions of third kind, and the second with boundary conditions of first kind. The results of the wavelet solutions for these cases are examined and they are found to compare favorably to the exact solutions. This paper on the whole indicates that the wavelet technique is a strong contender for solving two point initial boundary value problems in heat and mass transfer in capillary porous bodies with non-periodic conditions.
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