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تحميل الدليل التدريبي

أسئلة شائعة


M 506   Ordinary and Partial Differential Equations          3(3,0)    SEMESTER  1427 - 1428

Initial and boundary value problems for ordinary  differential equations. Numerical solutions. Elliptic, parabolic and hyperbolic partial differential equations. Initial and boundary value problems  for second order partial differential equations. Numerical solutions.

 


CHAPTER 1

Classification of DE, Methods for solving ODE

CHAPTER 2

Power series solutions of DE, Bessel’s equation,  Legendre’s equations. Orthogonal functions, Sturm-Liouville problems.

CHAPTER 3  

Numerical solutions of ODE, single step method: Euler, Range-Kutta methods. Milne’s  and Adam- Moulton methods.

CHAPTER 4

Classification of second order PDE, solution of by separation of variable BVP using Fourier series. BVP leading to Bessel functions, BVP leading to Legendre Functions.

CHAPTER 5

Numerical solution of BVP, Shooting method, Finite difference method, Collocation method, Releigh – Ritz method and Finite Element method.

 CHAPTER 6

Numerical solution of Elliptic, Parabolic and Hyperbolic PDE.

 


REFERENCES

LIBRARY REFERENCE         515.3’53

 

  1. D.G. Zill, Michael R. Cullen

Differential equations with boundary value problems, 6th Ed.

  1. J.R.Hanna

Fourier series and integral of boundary value problems.

  1. Tyn Myint-U

Partial differential equations of Mathematical Physics, 2nd Ed.

  1. M.R.Spiegel

Allied Differential equations  3rd  Ed.

5.      C.F.Gerald and P.O. Wheathey

Applied Numerical Analysis, 5th Ed.

  1. Mary  L. Boas

Mathematical Methods in Physical Sciences

  1. Donal W. Trim

Applied Differential Equations

8.   G. Strphenson

            An introduction to Partial Differential Equations for science students.     

  1. W.E.William

Partial Differential Equations

  1. P. Duchateau, D.Zachmann

Applied Partial Differential Equations

 
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