Numerical Methods for Constructing Solutions of Functional Differential Equations of Pointwise Type
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).
Published
2020-06-30
Section
Articles
