Search results for "Mixed time-dependent partial differential systems"

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

1999

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

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 boundsMathematicsJournal of Computational and Applied Mathematics
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