Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae
نویسندگان
چکیده
منابع مشابه
Sampling Rate Conversion in the Discrete Linear Canonical Transform Domain
Sampling rate conversion (SRC) is one of important issues in modern sampling theory. It can be realized by up-sampling, filtering, and down-sampling operations, which need large complexity. Although some efficient algorithms have been presented to do the sampling rate conversion, they all need to compute the N-point original signal to obtain the up-sampling or the down-sampling signal in the tim...
متن کاملNew sampling formulae for non-bandlimited signals associated with linear canonical transform and nonlinear Fourier atoms
The sampling theory is basic and crucial in engineering sciences. On the other hand, the linear canonical transform (LCT) is also of great power in optics, filter design, radar system analysis and pattern recognition, etc. The Fourier transform (FT), the fractional Fourier transform (FRFT), Fresnel transform (FRT) and scaling operations are considered as special cases of the LCT. In this paper,...
متن کاملreduced differential transform method for solving linear and nonlinear wave equations
reduced differential transform method (rdtm) is applied to various wave equations. to assessthe accuracy of the solutions, we compare the results with the exact solutions and variational iteration method.the results reveal that the rdtm is very effective, convenient and quite accurate to systems of nonlinearequations.
متن کاملSampling in the Linear Canonical Transform Domain
This paper investigates the interpolation formulae and the sampling theorem for bandpass signals in the linear canonical transform LCT domain. Firstly, one of the important relationships between the bandpass signals in the Fourier domain and the bandpass signals in the LCT domain is derived. Secondly, two interpolation formulae from uniformly sampled points at half of the sampling rate associat...
متن کاملSolving Heat and Wave-Like Equations Using He's Polynomials
We use He’s polynomials which are calculated form homotopy perturbation method HPM for solving heat and wave-like equations. The proposed iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method. The fact that suggested technique solves nonlinear problems without u...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2020
ISSN: 1687-0409,1085-3375
DOI: 10.1155/2020/1273194