Results 41 to 50 of about 326 (178)

Deep Neural Networks with Spacetime RBF for Solving Forward and Inverse Problems in the Diffusion Process

Mathematics
This study introduces a deep neural network approach that utilizes radial basis functions (RBFs) to solve forward and inverse problems in the process of diffusion.
Cheng-Yu Ku, Chih-Yu Liu, Yu-Jia Chiu, Wei-Da Chen   +3 more
doaj   +1 more source

Meshless method for the numerical solution of the Fokker–Planck equation

Ain Shams Engineering Journal, 2015
In this paper numerical meshless method for solving Fokker–Planck equation is considered. This meshless method is based on multiquadric radial basis function and collocation method to approximate the solution.
Maysam Askari, Hojatollah Adibi
doaj   +1 more source

Vector Field‐Based Collision‐Free Navigation in Tunnel‐Like Environments

Journal of Field Robotics, Volume 43, Issue 3, Page 2521-2547, May 2026.
ABSTRACT Tunnel‐like environments, renowned for their vast scale, confined spaces, and limited visibility, present significant challenges for autonomous robot navigation. This study addresses the critical issue of guiding robots through such environments while ensuring collision‐free navigation and maintaining a specified safety margin from both tunnel
Bao Jianjun, Licheng Feng, Yueqi Wang, Kai Zhao, Binghao Li, Liao Wu   +5 more
wiley   +1 more source

A kind of improved bivariate even order Bernoulli-type multiquadric quasi-interpolation operator and its application in two-dimensional coupled Burgers’ equations

Boundary Value Problems
Multiquadric quasi-interpolation is an efficient high-dimensional approximation algorithm. It can directly obtain the approximation term and its derivatives without solving any large-scale linear equations.
Ruifeng Wu
doaj   +1 more source

The Derivation of a Multiquadric Variant Solver for the Three-Dimensional Heston-Hull-White PDE

Axioms
The Heston-Hull-White (HHW) model is a generalization of the classical Heston approach that incorporates stochastic interest rates, making it a more accurate representation of financial markets.
Shuai Wang, Ziyang Wang, Yunfei Qi, Tao Liu   +3 more
doaj   +1 more source

Meshless method for delay partial differential equations with piecewise continuous arguments

上海师范大学学报. 自然科学版, 2020
We consider a class of delay partial differential equation with piecewise continuous arguments in this paper.First, we analyze the analytical solution of the equation and give the solution in the series form.Second, we solve the numerical solution of the
ZHONG Lin, MA Shufang, JOKA Dengata-lemu
doaj   +1 more source

POD‐Based Reduced‐Order Modeling of Indoor Temperature Fields in Impinging Jet Ventilation: Parameter‐Based Prediction and Sparse Sensor Reconstruction

JAPAN ARCHITECTURAL REVIEW, Volume 9, Issue 1, January–December 2026.
ABSTRACT Proper orthogonal decomposition (POD) has been widely used for reduced‐order modeling of fluid flows; however, its application to complex indoor airflow remains limited, particularly in systems with strong sensitivity to boundary conditions and regime‐dependent behavior.
Zitao Jiang, Tomohiro Kobayashi
wiley   +1 more source

Evaluate the Prediction Level of Polar Motion Interpolation for 6 hr in Ideal and Real Environments

Earth and Space Science, Volume 13, Issue 1, January 2026.
Abstract With the increasing demands for global development, deep space exploration missions are taking place more frequently, rendering the traditional 24‐hr Polar Motion (PM) predictions inadequate for supporting the frequent operations of spacecraft.
Wei Miao, Xueqing Xu, Yonghong Zhou
wiley   +1 more source

Numerical Solution of Heat Equation in Polar Cylindrical Coordinates by the Meshless Method of Lines

Journal of Mathematics, 2021
We propose a numerical solution to the heat equation in polar cylindrical coordinates by using the meshless method of lines approach. The space variables are discretized by multiquadric radial basis function, and time integration is performed by using ...
Arshad Hussain, Marjan Uddin, Sirajul Haq, Hameed Ullah Jan   +3 more
doaj   +1 more source

Fractional Boundary Element Modeling of Anomalous Ion Transport and Degradation in Solid‐State Lithium Batteries

International Journal of Energy Research, Volume 2026, Issue 1, 2026.
Although solid‐state lithium batteries (SSLBs) exhibit improved safety and high energy density, their performance is still restricted owing to degradation caused by transport effects within solid electrolytes. Current experimental evidence, along with some theoretical findings, demonstrates that lithium ion transport in such devices can no longer be ...
Mohamed Abdelsabour Fahmy, Ahmad Almutlg, Cheng Du   +2 more
wiley   +1 more source