Results 71 to 80 of about 1,021 (186)

Numerical Solution of the Rosenau‐KdV‐RLW equation via combination of a polynomial scaling function collocation and finite difference method

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 4015-4034, February 2025.
In this paper, we established a polynomial scaling method to investigate the numerical solution of Rosenau–Korteweg De Vries‐regularized long wave (Rosenau‐KdV‐RLW) equation. We start with discretization of the time variable of the equation using a finite difference approach equipped with a linearization.
Ömer Oruç, Alaattin Esen, Fatih Bulut
wiley   +1 more source

An Algorithm for Solving Phase‐Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this work, a nonlinear fractional integrodifferential equation (NFIo‐DE) with discontinuous generalized kernel in position and time is explored in space L2(Ω) × C[0, T], T < 1, with respect to the phase‐lag time. Here, Ω is the domain of integration with respect to position, Ω ∈ (−1, 1), while T is the time.
Abeer M. Al-Bugami, M. A. Abdou, Shikha Binwal   +2 more
wiley   +1 more source

Travelling Wave Solutions of a Time Regularised Long Wave Equation Associated With the Korteweg‐de Viries Equation in Fluid Dynamics

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this paper, we investigate the physical significance of the time regularised long wave (TRLW) equation within the realm of mathematics. Other varieties of travelling wave solutions to the analysed problem in hyperbolic form are looked at using the (1/G′)‐expansion method. Physically, the singular point’s shock wave structure offers the framework for
Ercan Çelik, Mengxin Chen
wiley   +1 more source

Numerical assessment of hyperbolic type double interface problems via Haar wavelets

Partial Differential Equations in Applied Mathematics
In this manuscript, we have addressed wave propagation challenges within heterogeneous media and hyperbolic interface model. A hybrid numerical approach is introduced for solving these problems, combining the finite difference method and Haar wavelet ...
Muhammad Asif, Muhammad Umar Farooq, Muhammad Bilal Riaz, Faisal Bilal, Nadeem Haider   +4 more
doaj   +1 more source

Spectral Optimized Multiderivative Hybrid Block Method for Fitzhugh–Nagumo Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The Fitzhugh–Nagumo equation, a key model for excitable systems in biology and neuroscience, requires efficient numerical methods due to its nonlinear nature. A spectral optimized multiderivative hybrid block method is proposed, constructed using a multistep collocation and interpolation technique with an approximated power series as the basis function.
Uthman O. Rufai, Precious Sibanda, Sicelo P. Goqo, Salma A. A. Ahmedai, Adeyinka S. Adeyemo, Md. Kamrujjaman   +5 more
wiley   +1 more source

A semi-analytic and numerical approach to the fractional differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization
A class of linear and nonlinear fractional differential equations (FDEs) in the Caputo sense is considered and studied through two novel techniques called the Homotopy analysis method (HAM).
K.N. Sachin, K. Suguntha, S. Kumbinarasaiah   +2 more
doaj   +1 more source

Homotopy Analysis And Legendre Multi-Wavelets Methods For Solving Integral Equations [PDF]

, 2009
Due to the ability of function representation, hybrid functions and wavelets have a special position in research. In this thesis, we state elementary definitions, then we introduce hybrid functions and some wavelets such as Haar, Daubechies, Cheby ...
Vahdati, Saeed
core  

Revisiting the Local Scaling Hypothesis in Stably Stratified Atmospheric Boundary Layer Turbulence: an Integration of Field and Laboratory Measurements with Large-eddy Simulations

, 2005
The `local scaling' hypothesis, first introduced by Nieuwstadt two decades ago, describes the turbulence structure of stable boundary layers in a very succinct way and is an integral part of numerous local closure-based numerical weather prediction ...
A. Andrén, A. Beljaars, A. Smedman, A.A.M. Holtslag, A.R. Brown, A.S. Monin, B. Kosović, B. Wiel van de, C. Canuto, D. Vickers, D. Vickers, D.K. Lilly, D.O. ReVelle, E.M. Saiki, Efi Foufoula-Georgiou, F. Ding, F. Porté-Agel, F. Porté-Agel, F.T.M. Nieuwstadt, F.T.M. Nieuwstadt, F.T.M. Nieuwstadt, Fernando Porté-agel, G. Heinemann, G.S. Poulos, J. Cuxart, J. Forrer, J.C. Kaimal, J.C. Wyngaard, J.C.R. Hunt, J.D. Albertson, J.F. Howell, Jean-François Vinuesa, L. Mahrt, L. Mahrt, L. Mahrt, L. Mahrt, M. Germano, M. Pahlow, Markus Pahlow, N.L. Dias, P. Mason, P. Mason, P. Viterbo, P.J. Mason, R.B. Stull, R.J. Beare, R.T. McNider, S. Galmarini, S. Ghosal, S.A. Orszag, S.H. Derbyshire, S.H. Derbyshire, S.J. Caughey, S.P. Arya, Sukanta Basu, U. Piomelli, Y. Ohya, Y. Ohya, Y. Zang, Y.S. Mahli, Z. Sorbjan   +60 more
core   +1 more source

Novel Technique for Solving Fractional‐Order Rabies Model With Computational Simulations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
Mathematical modeling using noninteger‐order derivatives has gained rapid attention among scientists and researchers in recent years. This manuscript investigates the dynamics of rabies transmission in a predator–prey framework by formulating the problem as a system of nonlinear fractional initial value problems (FIVPs).
Hafiza Aansa Islam, Waqas Nazeer, Liliana Guran, Deepali   +3 more
wiley   +1 more source

A Comparative Analysis of Wavelet‐Based Collocation Algorithms for Solving Systems of Fractional Order Differential Equations

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
Wavelet‐based techniques have attracted the attention of researchers in solving systems of fractional order differential equations (FODEs) since they can detect singularities, are simple, have compact support, and are highly accurate with less computational cost. In this paper, we seek to survey some wavelet‐based techniques, which have been applied to
Vida Afosaa, Anthony Y. Aidoo, Nicholas Kwasi-Do Ohene Opoku, Joseph Ackora-Prah, Tudor Barbu   +4 more
wiley   +1 more source