This github consists of Python code corresponding to the course Numerical Analysis for Ordinary and Partial Differential Equations.

This is the JupyterBook for the code

If you have trouble viewing the jupyter files copy the link and paste into the nbviewer website

• Euler Method applied to Linear Population Equation Open In Colab
• Euler Method applied to Non-Linear Population Equation Open In Colab

• Taylor Method applied to Non-Linear Population Equation Open In Colab

• Runge Kutta
• Runge Kutta applied to Population Equations Open In Colab

• Adam-Bashforth Method (explicit) applied to Population Equations Open In Colab

• Adams-Moulton Method (implicit) applied to Population Equations Open In Colab

• Predictor-Corrector Method Open In Colab

• Consistency Open In Colab
• Convergence Open In Colab
• Stability Open In Colab
• Further Notes on Consistency, Convergence and Stability Open In Colab

• Linear Shooting Method Open In Colab

• Non-Linear Shooting Method Open In Colab

• Finite Difference Method Open In Colab

• Explicit Finite Difference Method Open In Colab
• Implicit Finite Difference Methods Open In Colab
• Crank Nicolson Open In Colab

• Homogenous Equation Open In Colab
• Inhomogeneous Equation with zero boundary conditions Open In Colab
• Inhomogeneous Equation with non-zero boundary conditions Open In Colab

• Wave Equation Open In Colab
• Wave Equation Lax-Friedrich Method Open In Colab
• Wave Equation Lax-Wendroff Method Open In Colab
• Burger Equation Open In Colab

[1] Strogatz, S. (2014) Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering (studies in nonlinearity), Westview Press; 2 edition

[2] Bradie, B., (2006). A Friendly Introduction to Numerical Analysis. Pearson Education India.

[3] Atkinson, K. E., & Han, W. (1993). Elementary numerical analysis. New York: Wiley.

[4] Burden, R. L., Faires, J. D., (1997). Numerical Analysis. Brooks/Cole

[5] Stoer, J., & Bulirsch, R., (1980). Introduction to Numerical Analysis. Springer-Verlag

[6] Smith, G. D., (1992) Numerical Solution of Partial Differential Equations:Finite Difference Method. Oxford

[7] Sirca, S., Horvat, M., 2018, Computational Methods in Physics: Compendium for Students, Second Edition, Springer ISBN: 978-3-319-78619-3

[8] Brunton, S. L., & Kutz, J. N. (2019). Data-driven science and engineering: Machine learning, dynamical systems, and control. Cambridge University Press.

Strogatz. S., (2021, March 1). Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University [Video]. YouTube. https://www.youtube.com/playlist?list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V

The Relationship Equation - Numberphile. (2015, April 3). [Video]. YouTube. https://www.youtube.com/watch?v=BkOIw7vAZCQ

How Wolves Change Rivers. (2014, February 13). [Video]. YouTube. https://www.youtube.com/watch?v=ysa5OBhXz-Q

Tree, I. (2018). Wilding: The return of nature to a British farm. Pan Macmillan.

Strogatz, S. (2004). Sync: The emerging science of spontaneous order. Penguin UK.

Strogatz, S. (2019-2021). Joy of X. Quanta Magazine. https://www.quantamagazine.org/tag/the-joy-of-x In Our Time, (2014). e, BBC Radio 4 https://www.bbc.co.uk/programmes/b04hz49f

Butler, J. S., (2021), Numerical Analysis Playlist https://open.spotify.com/embed/playlist/58fMf5qf9DGdrGqsY6laMS