The numerical solution of nonlinear singular boundary value problems arising in physiology
From MaRDI portal
Publication:870178
DOI10.1016/j.amc.2006.06.104zbMath1107.65334OpenAlexW2021656304MaRDI QIDQ870178
Jalil Rashidinia, Reza Mohammadi, Reza Jalilian
Publication date: 12 March 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.104
numerical examplesquasilinearizationsingular equationnon-polynomial cubic splinenonlinear ordinary boundary value problem
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)
Related Items (19)
Taylor series method for solving a class of nonlinear singular boundary value problems arising in applied science ⋮ A numerical approach for the solution of a class of singular boundary value problems arising in physiology ⋮ Methods for solving singular boundary value problems using splines: a review ⋮ Cubic spline solution of singularly perturbed boundary value problems with significant first derivatives ⋮ A boundary shape function iterative method for solving nonlinear singular boundary value problems ⋮ A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology ⋮ Fractal cubic spline methods for singular boundary-value problems ⋮ Bernstein operational matrix of differentiation and collocation approach for a class of three-point singular BVPs: error estimate and convergence analysis ⋮ Oxygen diffusion in a spherical cell subject to nonlinear Michaelis–Menten kinetics: Mathematical analysis by two exact methods ⋮ Wavelet Galerkin method for solving nonlinear singular boundary value problems arising in physiology ⋮ TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations ⋮ A linearisation method for non-linear singular boundary value problems ⋮ An analytical solution for diffusion and nonlinear uptake of oxygen in a spherical cell ⋮ Numerical solution of nonlinear second order singular BVPs based on Green's functions and fixed-point iterative schemes ⋮ A New Approach for Solving Nonlinear Singular Boundary Value Problems ⋮ New cubic B-spline approximation for solving third order Emden-Flower type equations ⋮ ON AN ITERATIVE METHOD FOR A CLASS OF 2 POINT & 3 POINT NONLINEAR SBVPS ⋮ A sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems ⋮ Novel functional matrix method using standard basis of polynomial linear space
Cites Work
- Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics
- An application of Chawla's identity to a difference scheme for singular problems
- Diffusion problems with a mixed nonlinear boundary condition
- On oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics
- Pointwise bounds for a nonlinear heat conduction model of the human head
- A simplified mathematical model of tumor growth
- Order \(h^ 2\) method for a singular two-point boundary value problem
- A mathematical model of tumor growth. II. Effects of geometry and spatial nonuniformity on stability
- Pointwise solution bounds for a class of singular diffusion problems in physiology
- Finite difference methods and their convergence for a class of singular two point boundary value problems
- On a class of regular singular two point boundary value problems
- On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology.
- Mathematical models of tumor growth. IV: Effects of a necrotic core
- A spline method for second-order singularly perturbed boundary-value problems
- On a class of weakly regular singular two-point boundary value problems. II
- Cubic spline for a class of nonlinear singular boundary value problems arising in physiology
- A finite difference method for a class Of singular two point boundary value problems arising in physiology
- On a finite difference method for singular two-point boundary value problems
- On a class of weakly regular singular two point boundary value problems—I
- Piecewise Cubic Interpolation and Two-Point Boundary Problems
- Models for the Growth of a Solid Tumor by Diffusion
This page was built for publication: The numerical solution of nonlinear singular boundary value problems arising in physiology
