Volume 24, Issue 1
The Effect of Memory Terms in Diffusion Phenomena

A. Araújo, J.A. Ferreira & P. Oliveira

DOI:

J. Comp. Math., 24 (2006), pp. 91-102.

Published online: 2006-02

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  • Abstract

In this paper the effect of integral memory terms in the behavior of diffusion phenomena is studied. The energy functional associated with different models is analyzed and stability inequalities are established. Approximation methods for the computation of the solution of the integro-differential equations are constructed. Numerical results are included.

  • Keywords

Heat propagation Integro-differential equation Numerical approximation Splitting method

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@Article{JCM-24-91, author = {}, title = {The Effect of Memory Terms in Diffusion Phenomena}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {1}, pages = {91--102}, abstract = { In this paper the effect of integral memory terms in the behavior of diffusion phenomena is studied. The energy functional associated with different models is analyzed and stability inequalities are established. Approximation methods for the computation of the solution of the integro-differential equations are constructed. Numerical results are included. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8736.html} }
TY - JOUR T1 - The Effect of Memory Terms in Diffusion Phenomena JO - Journal of Computational Mathematics VL - 1 SP - 91 EP - 102 PY - 2006 DA - 2006/02 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8736.html KW - Heat propagation KW - Integro-differential equation KW - Numerical approximation KW - Splitting method AB - In this paper the effect of integral memory terms in the behavior of diffusion phenomena is studied. The energy functional associated with different models is analyzed and stability inequalities are established. Approximation methods for the computation of the solution of the integro-differential equations are constructed. Numerical results are included.
A. Araújo, J.A. Ferreira & P. Oliveira. (2019). The Effect of Memory Terms in Diffusion Phenomena. Journal of Computational Mathematics. 24 (1). 91-102. doi:
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