Results 81 to 90 of about 24,884 (178)

Numerical Methods Based on the Hybrid Shifted Orthonormal Polynomials and Block‐Pulse Functions for Solving a System of Fractional Differential Equations

Complexity, Volume 2024, Issue 1, 2024.
This paper develops two numerical methods for solving a system of fractional differential equations based on hybrid shifted orthonormal Bernstein polynomials with generalized block‐pulse functions (HSOBBPFs) and hybrid shifted orthonormal Legendre polynomials with generalized block‐pulse functions (HSOLBPFs).
Abdulqawi A. M. Rageh, Adel R. Hadhoud, Hassan Zargarzadeh   +2 more
wiley   +1 more source

Numerical solution of singularly perturbed singular third order boundary value problems with nonclassical sinc method

Results in Applied Mathematics
In this paper, we employ a nonclassical sinc-collocation method to compute numerical solutions for singularly perturbed singular third-order boundary value problems prevalent in various scientific and engineering domains. Utilizing the sinc approximation
A. Alipanah, K. Mohammadi, R.M. Haji
doaj   +1 more source

A Composite Wavelet–Rational Approach for Solving the Volterra’s Population Growth Model Over Semi‐Infinite Domain

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
In problems defined on a semi‐infinite domain, rational Chebyshev or Laguerre functions are the generic choices of basis functions in spectral methods. The rationale is that if the solution is oscillatory near the origin, then large number of basis functions may be required to retrieve the spectral accuracy that is not convenient.
Leila Rangipoor, Tavassoli Kajani Majid, Saeid Jahangiri, Emilio Turco   +3 more
wiley   +1 more source

Numerical solution of singular boundary value problems using Green’s function and Sinc-Collocation method

Journal of King Saud University - Science, 2020
This study is the construction of the Green’s function and Sinc function for a class of nonhomogeneous singular boundary value problems (SBVPs). The equivalent Volterra-Fredholm integral equations can be derived from SBVPs by applying Green’s function ...
Z. Balali, J. Rashidinia, N. Taheri
semanticscholar   +1 more source

Collocation Method to Solve Elliptic Equations, Bivariate Poly-Sinc Approximation

, 2016
The paper proposes a collocation method to solve bivariate elliptic partial differential equations. The method uses Lagrange approximation based on Sinc point collocations. The proposed approximation is collocating on non-equidistant interpolation points
Baumann, Gerd, Youssef, Maha Ragab
core  

Double exponential transformation in the Sinc-collocation method for two-point boundary value problems

, 2002
In 1974, Takahasi and Mori proposed the double exponential transformation for efficient evaluation of integrals of an analytic function with end point singularity.
Sugihara, Masaaki
core   +1 more source

Sinc-Chebyshev Collocation Method for a Class of Fractional Diffusion-Wave Equations

The Scientific World Journal, 2014
This paper is devoted to investigating the numerical solution for a class of fractional diffusion-wave equations with a variable coefficient where the fractional derivatives are described in the Caputo sense.
Zhi Mao, Aiguo Xiao, Zuguo Yu, Long Shi
doaj   +1 more source

Series Solution for Painlevé Equation II

Walailak Journal of Science and Technology, 2014
The Painlev'e equations are second order ordinary differential equations which can be grouped into six families, namely Painlev'e equation I, II,…, VI.
Fazle MABOOD, Waqar Ahmad KHAN, Ahmad Izani Md ISMAIL, Ishak HASHIM   +3 more
doaj   +1 more source

A numerical algorithm based on Jacobi polynomials for FIDEs with error estimation [PDF]

Iranian Journal of Numerical Analysis and Optimization
This study aims to address a specific class of mathematical problems known as fractional integro-differential equations. These equations are used to model various phenomena„ including heat conduction in materials with memory, damping laws, diffusion ...
K. Sadri, D. Amilo, E. Hincal
doaj   +1 more source

Numerical Solution of a Class of Predator-Prey Systems with Complex Dynamics Characters Based on a Sinc Function Interpolation Collocation Method

Complexity, 2020
Although many kinds of numerical methods have been announced for the predator-prey system, simple and efficient methods have always been the direction that scholars strive to pursue.
Mingjing Du, Pengfei Ning, Yulan Wang
doaj   +1 more source