Transforms and Partial Differential Equations

Transforms and Partial Differential Equations

Transforms and Partial Differential Equations

PARTIAL DIFFERENTIAL EQUATIONS

1. Partial Differential Equations
2. Important Questions and Answers: Partial Differential Equations
3. Formation of Partial Differential Equations
4. Solution of a Partial Differential Equation
5. Lagrange�s Linear Equation
6. Partial Differential Equations of Higher Order With Constant Coefficients
7. Non Homogeneous Linear Equations

FOURIER SERIES

1. Fourier Series
2. Important Questions and Answers: Fourier Series
3. Periodic Functions
4. Even and Odd functions
5. Half Range Series
6. Parseval�s Theorem and Change of Interval
7. Harmonic Analysis
8. Formula For Fourier Series

APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS

1. Applications of Partial Differential Equations
2. Important Questions and Answers: Applications of Partial Differential Equations
3. Solution of the wave equation
4. Solution of the heat equation
5. Solution of Laplace�s equation (Two dimensional heat equation)

FOURIER TRANSFORMS

1. Fourier Transforms
2. Important Questions and Answers: Fourier Transforms
3. Fourier Transforms and its properties

Z TRANSFORMS AND DIFFERENCE EQUATIONS

1. Z-Transforms and Difference Equations
2. Important Questions and Answers: Z-Transforms and Difference Equations
3. Linear Difference Equations
4. Z - Transforms and its Properties
5. Inverse Z-Transforms
6. Application of Z - transform to Difference equations