Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations

DOI10.1016/j.apm.2014.09.029zbMath1443.65267OpenAlexW2000842699MaRDI QIDQ2010054

Abdon Atangana

Publication date: 3 December 2019

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.09.029

zbMATH Keywords

nonlinearmodified homotopy perturbation methodattractor for one-dimensional Keller-Segel

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Computational methods for problems pertaining to biology (92-08)

Related Items (9)

New complex wave structures to the complex Ginzburg-Landau model ⋮ Fractional complex transform and homotopy perturbation method for the approximate solution of Keller-Segel model ⋮ Exact Solutions for the Liénard Type Model via Fractional Homotopy Methods ⋮ An efficient computational technique for local fractional heat conduction equations in fractal media ⋮ Applications of a novel integral transform to partial differential equations ⋮ Classifications and duality relations for several integral transforms ⋮ New spectral collocation algorithms for one- and two-dimensional Schrödinger equations with a Kerr law nonlinearity ⋮ The discrete homotopy perturbation sumudu transform method for solving partial difference equations ⋮ An efficient perturbation Sumudu transform technique for the time-fractional vibration equation with a memory dependent fractional derivative in Liouville-Caputo sense

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalized version of a low velocity impact between a rigid sphere and a transversely isotropic strain-hardening plate supported by a rigid substrate using the concept of noninteger derivatives
• The time-fractional coupled-Korteweg-de-Vries equations
• S-shaped bifurcation curves of nonlinear elliptic boundary value problems
• Initiation of slime mold aggregation viewed as an instability
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• A user's guide to PDE models for chemotaxis
• A review of the decomposition method in applied mathematics
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation technique
• Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations
• Homotopy analysis method for quadratic Riccati differential equation
• Stationary Solutions of Chemotaxis Systems
• Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
• Nonperturbative (but approximate) method for solving differential equations and finding limit cycles
• Construction of Periodic Solutions to Partial Differential Equations with Non-Linear Boundary Conditions.
• Bookkeeping Parameter in Perturbation Methods
• A new perturbative approach to nonlinear problems
• Chemotactic collapse in a parabolic system of mathematical biology

This page was built for publication: Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations