Numerical solutions of matrix differential models using higher-order matrix splines. (English) Zbl 1256.65069
Summary: This paper deals with the construction of approximate solutions of first-order matrix linear differential equations using higher-order matrix splines. An estimation of the approximation error, an algorithm for its implementation and some illustrative examples are included.
MSC:
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A30 | Linear ordinary differential equations and systems |
| 65L70 | Error bounds for numerical methods for ordinary differential equations |
Keywords:
matrix linear differential equations; higher-order matrix splines; error estiamtes; numerical examples; algorithmReferences:
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