Results 71 to 80 of about 284 (170)

The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
The paper proposes a method to solve the time fractional Fokker–Planck equation using the generalized Hermite spectral method and Laplace transform. By the Laplace transform, the ordinary differential equation about the orthogonal expansion coefficient is transformed into a linear algebraic equation system, with the coefficient matrix being a ...
Lu-feng Yang, Igor Freire
wiley   +1 more source

A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
Several scientific areas utilize fractional nonlinear partial differential equations (PDEs) to model various phenomena, yet most of these equations lack exact solutions (Ex‐Ss). Consequently, techniques for obtaining approximate solutions (App‐S), which sometimes yield Ex‐Ss, are essential for solving these equations.
Muhammad Imran Liaqat, Adnan Khan, Hafiz Muhammad Anjum, Gregory Abe-I-Kpeng, Emad E. Mahmoud, S. A. Edalatpanah   +5 more
wiley   +1 more source

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

Numerical solution of Volterra partial integro-differential equations based on sinc-collocation method

Advances in Difference Equations, 2017
We provide the numerical solution of a Volterra integro-differential equation of parabolic type with memory term subject to initial boundary value conditions.
Atefeh Fahim, Mohammad Ali Fariborzi Araghi, Jalil Rashidinia, Mehdi Jalalvand   +3 more
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

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  

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

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

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