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

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

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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COPYRIGHT: © Global Science Press

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@Article{JCM-24-91, author = {A. Araújo, J.A. Ferreira and P. Oliveira}, 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 AU - A. Araújo, J.A. Ferreira & P. Oliveira 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, Integro-differential equation, Numerical approximation, 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 and P. Oliveira. (2006). The Effect of Memory Terms in Diffusion Phenomena. Journal of Computational Mathematics. 24 (1). 91-102. doi:
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