On the Numerical Solution of Ordinary, Interval and Fuzzy Differential Equations by Use of F-Transform

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F20%3A10245356" target="_blank" >RIV/61989100:27510/20:10245356 - isvavai.cz</a>
Result on the web
<a href="https://www.scopus.com/record/display.uri?eid=2-s2.0-85081556271&origin=resultslist&sort=plf-f&src=s&st1=radi%2c+d&st2=&sid=b5e7922457e298202b1fb3eaf34f31d6&sot=b&sdt=b&sl=20&s=AUTHOR-NAME%28radi%2c+d%29&relpos=4&citeCnt=0&searchTerm=" target="_blank" >https://www.scopus.com/record/display.uri?eid=2-s2.0-85081556271&origin=resultslist&sort=plf-f&src=s&st1=radi%2c+d&st2=&sid=b5e7922457e298202b1fb3eaf34f31d6&sot=b&sdt=b&sl=20&s=AUTHOR-NAME%28radi%2c+d%29&relpos=4&citeCnt=0&searchTerm=</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/axioms9010015" target="_blank" >10.3390/axioms9010015</a>

Result language
angličtina
Original language name
On the Numerical Solution of Ordinary, Interval and Fuzzy Differential Equations by Use of F-Transform
Original language description
An interesting property of the inverse F-transform f<^> of a continuous function f on a given interval [a,b] says that the integrals of f<^> and f on [a,b] coincide. Furthermore, the same property can be established for the restrictions of the functions to all subintervals [a,pk] of the fuzzy partition of [a,b] used to define the F-transform. Based on this fact, we propose a new method for the numerical solution of ordinary differential equations (initial-value ordinary differential equation (ODE)) obtained by approximating the derivative x center dot(t) via F-transform, then computing (an approximation of) the solution x(t) by exact integration. For an ODE, a global second-order approximation is obtained. A similar construction is then applied to interval-valued and (level-wise) fuzzy differential equations in the setting of generalized differentiability (gH-derivative). Properties of the new method are analyzed and a computational section illustrates the performance of the obtained procedures, in comparison with well-known efficient algorithms.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
50200 - Economics and Business

Project
<a href="/en/project/GA20-16701S" target="_blank" >GA20-16701S: Hybrid Evolutionary Games and Economic Applications</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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