NUMERICAL APPROXIMATION OF HEAT EQUATION USING HAAR WAVELETS
نویسندگان
چکیده
منابع مشابه
Numerical Approximation of Heat Equation Using Haar Wavelets
Differential equations have several applications in several fields such as: physics, fluid dynamic and geophysics etc. However it is not always possible to get the solution in closed form and thus, numerical methods come into the picture. There are several numerical methods to handle a variety of problems: Finite Difference Method, Spectral Method, Finite Element Method, Finite Volume Method an...
متن کاملnumerical solution of damped forced oscillator problem using haar wavelets
we present here the numerical solution of damped forced oscillator problem using haar wavelet and compare the numerical results obtained with some well-known numerical methods such as runge-kutta fourth order classical and taylor series methods. numerical results show that the present haar wavelet method gives more accurate approximations than above said numerical methods.
متن کاملSuperfast Wavelet Transform Using QTT Approximation. I: Haar Wavelets
We propose a superfast discrete Haar wavelet transform (SFHWT) as well as its inverse, using the QTT representation for the Haar transform matrices and input-output vectors. Though the Haar matrix itself does not have a low QTT-rank approximation, we show that factor matrices used at each step of the traditional multilevel Haar wavelet transform algorithm have explicit QTT representations of lo...
متن کاملLegendre wavelets method for numerical solution of time-fractional heat equation
In this paper, we develop an efficient Legend...
متن کاملNumerical Integration Of The Integrals Based On Haar Wavelets
In this work, we present a computational method for solving double and triple integrals with variable limits of integrations which is based on Haar wavelets. This approach is the generalization and improvement of the methods [3]. The advantage of this new methods is its more efficient and simple applicability than the previous methods. Error analysis for the case of two dimension are considered...
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: International Journal of Pure and Apllied Mathematics
سال: 2013
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v86i1.6