A linearisation method for non-linear singular boundary value problems

DOI10.1016/j.camwa.2011.12.035zbMath1247.65098OpenAlexW2006173649MaRDI QIDQ453849

Sandile Sydney Motsa, Precious Sibanda

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.035

zbMATH Keywords

singular BVPssuccessive linearisation methodtumour growth model

Mathematics Subject Classification ID

Physiology (general) (92C30) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (6)

Fractal cubic spline methods for singular boundary-value problems ⋮ Solution of boundary eigenvalue problems and IBVP involving a system of PDEs using the successive linearization method ⋮ A note on the solutions of the Van der Pol and Duffing equations using a linearisation method ⋮ Application of piecewise successive linearization method for the solutions of the Chen chaotic system ⋮ Numerical solution of nonlinear second order singular BVPs based on Green's functions and fixed-point iterative schemes ⋮ Numerical simulation of MHD stagnation point flow of micropolar heat generating and dissipative nanofluid : SLM approach

Uses Software

• Matlab
• Differentiation Matrix Suite

Cites Work

• Unnamed Item
• Unnamed Item
• A note on the solution of the von Kármán equations using series and Chebyshev spectral methods
• A novel approach for the solution of a class of singular boundary value problems arising in physiology
• B-spline solution of non-linear singular boundary value problems arising in physiology
• The numerical solution of nonlinear singular boundary value problems arising in physiology
• A simplified mathematical model of tumor growth
• A mathematical model of tumor growth. II. Effects of geometry and spatial nonuniformity on stability
• A fourth order method for a singular two-point boundary value problem
• On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology.
• Growth of nonnecrotic tumors in the presence and absence of inhibitors
• Variable viscosity on magnetohydrodynamic fluid flow and heat transfer over an unsteady stretching surface with Hall effect
• Methods for solving singular boundary value problems using splines: a review
• Solution of a class of singular boundary value problems
• Cubic spline for a class of nonlinear singular boundary value problems arising in physiology
• A numerical analysis of a model of growth tumor
• On the Convergence of Finite Difference Method for General Singular Boundary Value Problems
• Spectral Methods in MATLAB
• Accuracy and Speed in Computing the Chebyshev Collocation Derivative
• On a new quasi-linearization method for systems of nonlinear boundary value problems
• A different approach for solving singular two‐point boundary value problems

This page was built for publication: A linearisation method for non-linear singular boundary value problems