6 min read 0
5

The Convolution Theorem Formula

The Convolution Theorem Formula, the Convolution Theorem is an important part of mathematics which connects theory with practice in regards to signal processing or data analysis. Although convoluted in wording, it is definitely one of […]

12 min read 0
29

Frobenius Method

Frobenius Method, we consider the general second order linear differential equation,      (9.1) and attempt to solve it about a regular singular point . For that, we employ the Frobenius method as illustrated in […]

11 min read 0
28

 The Fourier Transform

The Fourier Transform ,we move on  in our program of decomposing arbitrary functions into sinusoids. We have seen how a periodic function can be expressed as a Fourier series, so now we seek a similar […]

8 min read 0
32

Continuity

Continuity, most of the functions we study in elementary calculus are described by simple formulas. These functions almost always possess derivatives and, in fact, a portion of any first course in calculus is devoted to […]

11 min read 0
30

Meixner Wavelet Method

Meixner Wavelet Method,we proposed a new algorithm by inserting Meixner polynomials in traditional Legendre wavelets method. This technique is successively applied to find the exact solution singular ordinary differential equations. The proposed technique is very […]

12 min read 0
41

 The Convolution Theorem

 The Convolution Theorem, we know that the Laplace transform of a sum of two functions is the sum of the transforms of those functions, i.e., On the same analogy we may think of a similar […]

9 min read 0
41

Dirac Delta Function

Dirac Delta Function , the unit step function (or the Heaviside function) helps us in solving differential equations with discontinuous forcing functions. However, there are many problems in Electrical/Mechanical/Mechatronics/Civil  Engineering and Physics which involve impulsive […]