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

Issue

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

Section

Articles

How to Cite

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