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RESEARCH PRODUCT
Computing continuous numerical solutions of matrix differential equations
E. PonsodaLucas Jódarsubject
Matrix differential equationDifferential equationNumerical solutionSpline functionMathematical analysisMinimax approximation algorithmComputational MathematicsSpline (mathematics)Matrix (mathematics)Initial value problemComputational Theory and MathematicsModelling and SimulationMatrix differential equationModeling and SimulationError boundInitial value problemApproximate solutionLinear equationMathematicsdescription
Abstract In this paper, we construct analytical approximate solutions of initial value problems for the matrix differential equation X ′( t ) = A ( t ) X ( t ) + X ( t ) B ( t ) + L ( t ), with twice continuously differentiable functions A ( t ), B ( t ), and L ( t ), continuous. We determine, in terms of the data, the existence interval of the problem. Given an admissible error e, we construct an approximate solution whose error is smaller than e uniformly, in all the domain.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-02-01 | Computers & Mathematics with Applications |