Transforms And Partial Differential Equations: UNIT II: Fourier Series
Examples
Transforms And Partial Differential Equations: UNIT II: Fourier Series: Examples
2.2 (b) PROBLEMS UNDER THE INTERVAL (−l, l)|
Example
2.2.b(1): If f(x) = x is defined in -/ < x < / with
period 2l, find the Fourier expansion of f(x).
Solution
:
f(x) = x
f(-x) = -x = -f(x)
Therefore f(x) is an odd function.
Hence a0 = 0 and an = 0
Let the required Fourier series be
Example
2.2.b(2): Obtain the Fourier series for the function given by
Example
2.2.b(3) Expant f(x) = e-x as Fourier series in (-1,1)
Example
2.2.b(4) Find the Fourier series expansion of the periodic
function
Example
2.2.b(5): Find the Fourier series expansion the following
Transforms And Partial Differential Equations: UNIT II: Fourier Series : Tag: : - Examples
Transforms And Partial Differential Equations: UNIT II: Fourier Series
Under Subject
Transforms and Partial Differential Equations
MA3351 3rd semester civil, Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation
Related Subjects
Transforms and Partial Differential Equations
MA3351 3rd semester civil, Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation
Engineering Mechanics
ME3351 3rd semester civil, Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation
Engineering Thermodynamics
ME3391 3rd semester Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation
Fluid Mechanics and Machinery
CE3391 3rd semester Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation
Engineering Materials and Metallurgy
ME3392 3rd semester Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation
Manufacturing Processes
ME3393 3rd semester Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation