Preface

This section discusses differential equations involed in modeling fluid mechnics. we consider two such problems---Blasius equation and Jeffery--Hamel flow.

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Glossary

Finite Difference Schemes

 

  1. Anguelov, R. and Lubuma, J. M. S. 2001. Contributions of the Mathematics of the Non- Standard Finite Method with Applications to Certain Discrete Schemes, Journal of Computational and Applied Mathematics, 17:518-543.
  2. Anguelov, R. and Lubuma, J. M. S. 2003. Non- Standard Finite Difference Method by Non-Local Approximation, Mathematics and Computer in Simulation, 2003, 61:465-475.
  3. Ciślinski, J.L., On the exact discretization of theclassical harmonic oscillator equation, On the exact discretization of the classical harmonic oscillator equation, 2011,
  4. Ibijola, E. A. and Sunday, J. 2010. A Comparative Study of Standard and Exact Finite-Difference Schemes for Numerical Solution of Ordinary Differential Equations Emanating from the Radioactive Decay of Substance, Australian Journal of Basic and Applied Sciences, 4(4): 624-632
  5. Mickens, R. E. 1981. Non-Linear Oscillations, Cambridge University Press, New York.
  6. Mickens, R. E. 1999. Applications of Non-Standard Method for Initial Value Problem, World Scientific, Singapore.
  7. Sunday, J., Ibijola, E.A., and Skwame, Y., On The Theory and Applications of Nonstandard Finite Difference Method for Singular Ordinary Differential Equations, Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS) 2 (4): 643-647.

 

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