Menu: Home :: go to Journal :: switch to Russian :: switch to English
You are here: all Journals and Issues→ Journal→ Issue→ Article

Algorithms for solving differential equations in Math Partner

Annotation

Algorithms for finding the symbolic-numerical solution of linear inhomogeneous ordinary differential equations, Bernoulli equations are discussed. Algorithms for finding a solution through the Lagutinsky determinant are described. The description of Mathpar user language is given in the part that allows to use the service for solving differential equations.

Keywords

linear inhomogeneous differential equations; the Bernoulli equation; computer algebra system; Math Partner system; the determinant of Lagutinsky

Full-text in one file

Download

DOI

10.20310/1810-0198-2018-23-122-250-260

UDC

517.925

Pages

250-260

References

1. Math Partner. Available at: http://mathpar.cloud.unihub.ru (accessed 22.02.2018). 2. Nouton P., Shildt G. Java 2. St. Petersburg, BKHV-Peterburg Publ., 2008, 1072 p. (In Russian). 3. Glazkov S.A. Simvol'nye algoritmy resheniya nekotorykh tipov obyknovennykh differentsial'nykh uravneniy [Symbolic algorithms of some types of differential equations’ solution]. Derzhavinskiy forum – Derzhavin Forum, 2017, no. 2, pp. 131-140. (In Russian). 4. Glazkov S.A., Rybakov M.A. Algoritmy resheniya prostykh tipov obyknovennykh differentsial'nykh uravneniy v Math Partner [The symbolic solution of ordinary differential equations in the computer algebra system Math Partner]. Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki – Tambov University Reports. Series: Natural and Technical Sciences, 2017, vol. 22, no. 6-1, pp. 1268-1276. (In Russian). DOI: 10.20310/1810-0198-2017-22-6-1268-1276. 5. Malashonok G.I. Rukovodstvo po yazyku «MATHPAR» [Mathpar Language Guide]. Tambov, Publishing House of Tambov State University named after G.R. Derzhavin, 2013. (In Russian). 6. Malaschonok G.I. MathPartner Computer Algebra. Programming and Computer Software, 2017, vol. 43, no. 2, p. 112118. 7. Vilenkin N.Y., Dobrokhotova M.A., Safonov A.N. Differentsial'nye uravneniya [Differential Equations]. Moscow, Prosveshchenie Publ., 1984. (In Russian). 8. Malykh M.D. O primenenii metoda M. N. Lagutinskogo k integrirovaniyu differentsial'nykh uravneniy 1-go poryadka. Chast' 1. Otyskanie algebraicheskikh integralov [On Application of M.N. Lagutinski Method to Integration of Differential Equations in Symbolic Form. Part 1]. Vestnik Rossiyskogo universiteta druzhby narodov. Seriya: Matematika, informatika, fizika – RUDN Journal of Mathematics, Information Sciences and Physics, 2017, vol. 25, no. 2, pp. 103-112. (In Russian).

Received

2018-03-23

Section of issue

Scientific articles

Для корректной работы сайта используйте один из современных браузеров. Например, Firefox 55, Chrome 60 или более новые.