On an approximate solution of a boundary value problem for a nonlinear integro-differential equation
Sign Up to like & getrecommendations! Published in 2021 at "Arab Journal of Basic and Applied Sciences"
DOI: 10.1080/25765299.2021.1982500
Abstract: Abstract The aim of this work is to discuss the solvability of a boundary value problem for a nonlinear integro-differential equation. First, we derive an equivalent nonlinear Fredholm integral equation (NFIE) to this problem. Second,… read more here.
Keywords: boundary value; nonlinear integro; problem; equation ... See more keywords
Asymptotic limits for a nonlinear integro-differential equation modelling leukocytes’ rolling on arterial walls
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinearity"
DOI: 10.1088/1361-6544/ac3eb5
Abstract: We consider a nonlinear integro-differential model describing z, the position of the cell center on the real line presented in Grec et al (2018 J. Theor. Biol. 452 35–46). We introduce a new ɛ-scaling and… read more here.
Keywords: nonlinear integro; asymptotic limits; equation modelling; limits nonlinear ... See more keywords
Darboux transformation and solitons for an integrable nonautonomous nonlinear integro-differential Schrödinger equation
Sign Up to like & getrecommendations! Published in 2017 at "Modern Physics Letters B"
DOI: 10.1142/s0217984917502761
Abstract: By modifying the scheme for an isospectral problem, the non-isospectral Ablowitz–Kaup–Newell–Segur (AKNS) hierarchy is constructed via allowing the time varying spectrum. In this paper, we consider an integrable nonautonomous nonlinear integro-differential Schrodinger equation discussed before… read more here.
Keywords: nonautonomous nonlinear; integro differential; integrable nonautonomous; equation ... See more keywords
Monotone alternating direction implicit method for nonlinear integro-parabolic equations
Sign Up to like & getrecommendations! Published in 2018 at "Anziam Journal"
DOI: 10.21914/anziamj.v59i0.12633
Abstract: The paper deals with numerical solving nonlinear integro-parabolic problems based on an alternating direction implicit (ADI) scheme. A monotone iterative ADI method is constructed. An analysis of convergence of the monotone iterative ADI method is… read more here.
Keywords: direction; direction implicit; integro parabolic; alternating direction ... See more keywords