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RESEARCH PRODUCT

Continuous numerical solutions of coupled mixed partial differential systems using Fer's factorization

Sergio BlanesLucas Jódar

subject

Pure mathematicsPartial differential equationSeries (mathematics)TruncationApplied MathematicsMixed time-dependent partial differential systemsType (model theory)Fer's factorizationExponential functionAlgorithmCombinatoricsComputational MathematicsMatrix (mathematics)Accurate solutionFactorizationPartial derivativeA priori error boundsMathematics

description

In this paper continuous numerical solutions expressed in terms of matrix exponentials are constructed to approximate time-dependent systems of the type ut A(t)uxx B(t)u=0; 0 0, u(0;t)=u(p;t)=0; u(x;0)=f(x);06 x6p. After truncation of an exact series solution, the numerical solution is constructed using Fer’s factorization. Given >0 and t0;t1; with 0<t0<t1 and D(t0;t1)=f(x;t); 06x6p; t06t6t1g the error of the approximated solution with respect to the exact series solution is less than uniformly in D(t0;t1). An algorithm is also included. c 1999 Elsevier Science B.V. All rights reserved. AMS classication: 65M15, 34A50, 35C10, 35A50

yearjournalcountryeditionlanguage
1999-01-01Journal of Computational and Applied Mathematics
https://doi.org/10.1016/s0377-0427(98)00219-2