Numerical Methods for Constructing Solutions of Functional Differential Equations of Pointwise Type

Authors

DOI:

https://doi.org/10.25728/assa.2020.20.2.878

Keywords:

traveling waves, functional differential equations, equations of mathematical physics, splines, forward-backward differential equation

Abstract

The article discusses construction of traveling wave type solutions for the Frenkel-Kontorova model on the propagation of longitudinal waves. For the first time, based on the existence and uniqueness theorem of traveling wave type solutions, as well as the approximation theorem, a complete family of traveling wave type solutions is constructed in the form of subfamilies of bounded solutions (horizontals) and unbounded solutions (verticals).

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Published

2020-06-30

How to Cite

Beklaryan, A. L. (2020). Numerical Methods for Constructing Solutions of Functional Differential Equations of Pointwise Type. Advances in Systems Science and Applications, 20(2), 56–70. https://doi.org/10.25728/assa.2020.20.2.878

Issue

Vol. 20 No. 2 (2020): Advances in Systems Science and Applications

Section

Articles