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- Article name
- SOLVING DIFFERENTIAL EQUATIONS USING GEOMETRIC INTERPOLANTS
- Authors
- Konopatskiy E. V., , e.v.konopatskiy@mail.ru, Donbas National Academy of Civil Engineering and Architecture, Donbas, Donetsk People's Republic
Shevschuk O. A., , ks81@rambler.ru, Donbas National Academy of Civil Engineering and Architecture, Makeyevka, Donetsk People's Republic
- Keywords
- geometric interpolant / approximation / differential equations / numerical solution
- Year
- 2020 Issue 3 Pages 29 - 33
- Code EDN
- Code DOI
- Abstract
- The article proposes an approximation of the solution of differential equations using geometric interpolants. The application of this method to obtain a numerical solution of differential equations with one, two, three, and four independent variables is considered. A computational solution algorithm is described for each case. It is noted that when the number of variables increases, the computational algorithm remains unchanged, only increasing the dimension of the geometric interpolant and the number of equations of coordinate calculation.
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