Results 51 to 60 of about 330 (180)

A Meshless Method for Burgers’ Equation Using Multiquadric Radial Basis Functions With a Lie-Group Integrator

Mathematics, 2019
An efficient technique is proposed to solve the one-dimensional Burgers’ equation based on multiquadric radial basis function (MQ-RBF) for space approximation and a Lie-Group scheme for time integration.
Muaz Seydaoğlu
doaj   +1 more source

Numerical Investigation of Two‐Dimensional Nonlinear Transport and Diffusion Phenomena Using Bicubic B‐Splines

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Nonlinear partial differential equations, such as the two‐dimensional Burgers–Fisher equation, arise in many applications in biology, engineering, and physics. Owing to the strong nonlinearity of this equation, obtaining analytical solutions is generally difficult, motivating the development of efficient numerical methods.
Sherwan Salah Ahmed, Ahmad Alalyani, Bewar Ahmed Mahmood, Deepali Deepali   +3 more
wiley   +1 more source

Hybrid Haar wavelet and meshfree methods for hyperbolic double interface problems: Numerical implementations and comparative performance analysis

Partial Differential Equations in Applied Mathematics
This paper introduces a variety of approaches for solving 2D and 3D hyperbolic double interface problems. The methods are based on the Haar wavelet method, multiquadric radial basis function method, and integrated multiquadric radial basis function ...
Muhammad Faheem, Muhammad Asif, Nadeem Haider, Rohul Amin, Qasem-Al-Mdallal   +4 more
doaj   +1 more source

Abel–Goncharov Type Multiquadric Quasi-Interpolation Operators with Higher Approximation Order

Journal of Mathematics, 2021
A kind of Abel–Goncharov type operators is surveyed. The presented method is studied by combining the known multiquadric quasi-interpolant with univariate Abel–Goncharov interpolation polynomials.
Ruifeng Wu
doaj   +1 more source

Applying multiquadric quasi-interpolation for boundary detection

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qinjiao Gao, Zongmin Wu, Shenggang Zhang
openaire   +3 more sources

RBF‐Based Numerical Solution for Nonlinear Volterra Integral Equation Systems of the Second Kind

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a numerical method for solving systems of nonlinear Volterra integral equations of the second kind using compactly supported radial basis functions (RBFs). Such equations often appear in population models, epidemic dynamics, viscoelastic processes, and nonlinear transport, where the unknown function enters the kernel in a nonlinear ...
M. Yasin, Y. Jaafra, F. Aqel, B. Mustafa, John Venetis   +4 more
wiley   +1 more source

Radial Basis Function Collocation With L‐BFGS Optimization for Higher Order Initial Value Problems

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper describes a radial basis function collocation method that uses limited‐memory Broyden–Fletcher–Goldfarb–Shanno optimization to solve one‐dimensional ordinary differential initial value problems. Numerical tests include first‐order problems and manufactured fourth‐, sixth‐, and eighth‐order problems.
Nolf Shaker Al-Shimari, Mohammad Rezwan Habib   +1 more
wiley   +1 more source

Hybrid Vision Transformer With Convolutional Blocks Approach for Subsurface Electrical Resistivity Tomography Inversion

Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 4, December 2025.
Abstract Electrical Resistivity Tomography (ERT) is widely used for subsurface imaging. Despite recent advancements in machine learning based ERT inversion using conventional deep learning models such as CNN and UNet, accurately delineating resistivity profiles of natural and artificial subsurface anomalies remains challenging.
Huichao Yin, Kenneth C. Carroll, Yusen Yuan, Ahsan Jamil, Dale F. Rucker, Zhenxue Dai, Mohamad Reza Soltanian   +6 more
wiley   +1 more source

Efficient Numerical Solution of the Sharma-Tasso-Olver Equation Using Radial Basis Function-Pseudo Spectral Method with Comparative Analysis

Wasit Journal for Pure Sciences
In this study, we will solve the Sharma-Tasso-Olver equation by utilizing the radial basis function-pseudo spectral approach. Pseudo spectral techniques are renowned for their exceptional precision but have constraints regarding their ability to handle ...
Luqman Zebari
doaj   +1 more source

α$$ \alpha $$‐KIDS: A Novel Feature Evaluation in the Ultrahigh‐Dimensional Right‐Censored Setting, With Application to Head and Neck Cancer

Statistics in Medicine, Volume 44, Issue 15-17, July 2025.
ABSTRACT Recent advances in sequencing technologies have allowed the collection of massive genome‐wide information that substantially enhances the diagnosis and prognosis of head and neck cancer. Identifying predictive markers for survival time is crucial for devising prognostic systems and learning the underlying molecular drivers of the cancer course.
Atika Farzana Urmi, Chenlu Ke, Dipankar Bandyopadhyay   +2 more
wiley   +1 more source