In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

- Parabolic Equations.
- Explicit finite difference approximation.
- Crank Nickelson implicit method.
- Derivative boundary condition.
- The local truncation error.
- Consistency and Stability.
- The necessary and sufficient condition for stability.
- Finite difference approximation in spherical polar co-ordinates.
- Hyperbolic Equations.
- Analytic solution of quasi-linear equations.
- Finite difference method on a rectangular mesh for first order equations.
- Reducion of first order partial differential equation to a system of first order ordinary differential equations.
- Second order quasi-linear hyperbolic equations.
- Finite difference method on a rectangular mesh for second order equation.
- Simultaneous first order equations and stability.
- Elliptic Equations.
- Finite difference in polar co-ordinates.
- Formulae for derivative near curved boundaries.
- Improvement of the accuracy of solution.
- Systematic iterative methods for large linear systems.
- Jacobbi.
- Gauss and SOR methods.
- Necessary and sufficient condition for convergence of iterative methods.
- Methods for accelerating convergence.

- Numerical solution of partial differential equations finite difference methodsby Smith, G. D.

Edition statement:3rd ed.

Published by : Oxford University Press (New York)

ISBN: 0198596502 - Numerical partial differential equations finite difference methodsby Thomas, J. W.

Published by : Springer-Verlag (New York)

ISBN: 0387979999

- Differential and Integral Equationsby Collins, Peter J.

Date Published: 2006

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- Algebraic Approach to Differential Equationsby Tráng, Lê Dung

Date Published May 2010 - Differential and Integral Equationsby Collins, Peter J.

Date Published September 2006 - Ordinary Differential Equationsby Greenberg, Michael D.

Date Published May 2014

Pages 549 - Random Differential Equations in Scientific Computingby Neckel, Tobias Rupp, Florian

Date Published: 2013 - Partial Differential Equations : Theory and Completely Solved Problemsby Hillen, Thomas Leonard, I.E. van Roessel, Henry

Date Published: 2014