Geodesic
Finite-difference methods for solving loaded parabolic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 1, pp. 99-112 Cet article a éte moissonné depuis la source Math-Net.Ru

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Loaded partial differential equations are solved numerically. For illustrative purposes, a boundary value problem for a parabolic equation with various point loads is considered. By applying difference approximations, the problems are reduced to systems of algebraic equations of special structure, which are solved using a parametric representation involving solutions of auxiliary linear systems with tridiagonal matrices. Numerical results are presented and analyzed. 
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V. M. Abdullayev; K. R. Aida-zade. Finite-difference methods for solving loaded parabolic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 1, pp. 99-112. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a4/

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