Numerical methods for partial differential equations : finite difference and finite volume methods /

• Main Author: Mazumder, Sandip, 1969- (Author)
• Format: eBook
• Language: English
• Published: London : Academic Press, [2016]
• Subjects: Differential equations, Partial > Numerical solutions.; Finite differences.; Finite volume method.; Electronic books.
• Online Access: ScienceDirect; View fulltext via EzAccess

Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, dependin...

Table of Contents:

• Introduction to numerical methods for solving differential equations
• The finite difference method
• Solution to a system of linear algebraic equations
• Stability and convergence of iterative solvers
• Treatment of the time derivative (parabolic and hyperbolic PDEs)
• The finite volume method (FVM)
• Unstructured finite volume method
• Miscellaneous topics.