College of Engineering and Physical Sciences

References on PDE Animation and Sources of Problems

Return to PDE Animation and Sources

Papers

1. Matthews, J.H., Using MATLAB to Obtain both Numerical and Graphical Solutions to Hyperbolic PDEs, Computers in Education Journal, vol. 4, no. 1, Jan./Mar., 1994, pp. 58-60.
2. Yusef, I., K. Slater and K. Gramoll, Using 'GT Vibrations' in Systems Dynamics Courses, Proc. 1994 ASEE Annual Conference, June 26-29, Edmonton, Alberta Canada, pp. 952-958.
3. Slater, K. and K. Gramoll, Vibration Visualization using Longitudinal Vibration Simulator (LVS), Proc. 1995 ASEE Annual Conference, June 25-29, Anaheim, CA, pp. 2779-2783.
4. Jacquot, R.G. and J.C. Hamann, Visualization of PDE Solutions Using Implicit Methods and MATLAB, Computers In Education Journal, vol. 7, no. 3, July/Sept., 1997, pp. 2-5.
5. Watkins, J., G. Piper, K. Wedeward and E.E. Mitchell, Computer Animation: A Visualization Tool for Dynamic Systems Simulations, Proc. 1997 ASEE Annual Conference, June 15-18, 1997, Milwaukee, WI, Session 1620, Paper 4.
6. Jacquot, R.G. and B.R. Dewey, Solution of Static and Dynamic Beam Bending and Static Buckling Problems Using Finite Differences and MATLAB, Proc. 2001 ASEE Annual Conference, June 24-27, 2001, Albuquerque, NM, Session 2220, Paper 4.
7. Valocchi, A.J. and C.J. Werth, Web-Based Interactive Simulation of Groundwater Pollutant Fate and Transport, Computer Applications in Engineering Education, vol. 12, no. 2, 2004, pp.75-83.
8. M. de Magistris, A MATLAB Based Virtual Laboratory for Teaching Quasi-Stationary Electromagnetics, IEEE Transactions on Education, vol. 48, no. 1 Feb., 2005, pp.81- 88.
9. M.H.N. Naraghi, Solution of Similarity Transform Equations for Boundary Layers using Spreadsheets, Computers in Education Journal, vol. 14, no. 4, Oct./Dec. 2004, pp. 62-69.
10. R.G. Jacquot, C.H.G. Wright, T.V. Edgar and R.F. Kubichek, Clarification of Partial Differential Equation Solutions Using 2-D and 3-D Graphics and Animation, Proc. 2005 ASEE Annual Conference, June 12-15, 2005, Portland, OR, Session 1320, Paper 2.
11. R.G. Jacquot, C.H.G. Wright, T.V. Edgar and R.F. Kubichek, Visualization of Partial Differential Equation Solutions, Computing in Science and Engineering, vol. 8, no. 1, Jan./Feb., 2006, pp.73-77.
12. R.G. Jacquot, G.H.G. Wright and R.F. Kubichek, Animation Software for the Teaching of Electrical Transmission Lines, Proc. 114th ASEE Annual Conference, June 18-22, 2006, Chicago, IL, Session 1120, Paper 1.
13. J.R. Barker, ANSYS Macros for Illustrating Concepts in Mechanical Engineering Courses, Proc. 2005 ASEE Annual Conference Exposition, Portland, OR, June 12-15, 2005, Session 1320, Paper 5.
14. E. Fatehifar, A. Elkamel and M. Taheri, A MATLAB-based Modeling and Simulation Program for Dispersion of Multipollutants from an Industrial Stack for Educational Use in a Course on Air Pollution Control, Computer Applications in Engineering Education, vol. 14, no. 4, 2006, pp.300-312.
15. R.G. Jacquot, C.H.G. Wright, R.F. Kubichek and T.V. Edgar, A Library of MATLAB Scripts for Illustration and Animation of solutions to Partial Differential Equations, Proc. 115^th ASEE Annual Conference, June 24-27, 2007, Honolulu, HI, Session 1120, Paper 4.
16. N.N. Sarker and M.A. Ketkar, Solving Partial Differential Equation with Microsoft Excel to Predict Temperature Profile of Stored Grain, Computers in Education Journal, vol. 17, no. 3, September, 2007, pp. 58-65.

Books--These contain problems for which animations have been developed.

1. Ulaby, F.T., Fundamentals of Applied Electromagnetics, Prentice-Hall, Inc., 1999.
2. Miner, G.F., Lines and Electromagnetics for Engineers, Oxford, 1996.
3. De Wiest, R.J.M., Geohydrology, John Wiley and Sons, Inc., 1965.
4. Dean, R.G., Beach Nourishment: Theory and Practice, World Scientific Publishing Co., 2002.
5. Carslaw, H.S. and J.C. Jaeger, Conduction of Heat in Solids, Oxford, 1959.
6. Jacobsen, L.S. and R.S. Ayre, Engineering Vibrations, McGraw-Hill, Inc. 1958.
7. Bishop, R.E.D and D.C. Johnson., The Mechanics of Vibration, Cambridge, 1960.
8. Timoshenko, S.and D.H. Young, Vibration Problems in Engineering, D. Van Nostrand, Inc., 1959.
9. Churchill, R.V. and J.W. Brown, Fourier Series and Boundary Value Problems: 4^th Ed., McGraw-Hill, 1987.
10. Churchill, R.V., Operational Mathematics: 2^nd Ed., McGraw-Hill, 1958.