On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology.
DOI10.1016/j.cam.2003.09.053zbMath1086.65083OpenAlexW2031925666MaRDI QIDQ1428476
Publication date: 29 March 2004
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.053
convergencefinite difference methodnumerical examplesphysiology applicationsChawla's identitytwo-point singular boundary value problem
Stability and convergence of numerical methods for ordinary differential equations (65L20) Physiology (general) (92C30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Finite difference and finite volume methods for ordinary differential equations (65L12)
Related Items (47)
Cites Work
- An application of Chawla's identity to a difference scheme for singular problems
- Diffusion problems with a mixed nonlinear boundary condition
- 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
- Mathematical models of tumor growth. IV: Effects of a necrotic core
- On a class of weakly regular singular two-point boundary value problems. II
- 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
- Models for the Growth of a Solid Tumor by Diffusion
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