Results 81 to 90 of about 3,206 (190)

Inverse multiquadric kernel‐based neuro heuristic approach to analyze the unsteady MHD nanofluid flow via permeable elongating surface

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 2, February 2024.
In this study, a novel neuro heuristic approach is designed to investigate the flow properties of magnetohydrodynamic (MHD) nanofluid along an exponentially extending sheet with a permeable medium with the impact of radiation as well as fluctuating heat source/sink.
Zeeshan Ikram Butt, Iftikhar Ahmad, Syed Ibrar Hussain, Muhammad Asif Zahoor Raja, Muhammad Shoaib, Hira Ilyas   +5 more
wiley   +1 more source

Numerical Investigation for the Temporal Fractional Financial Option Pricing Partial Differential Equation Utilizing a Multiquadric Function

Fractal and Fractional
This paper proposes a computational procedure to resolve the temporal fractional financial option pricing partial differential equation (PDE) using a localized meshless approach via the multiquadric radial basis function (RBF).
Jia Li, Tao Liu, Jiaqi Xu, Xiaoxi Hu, Changan Xu, Yanlong Wei   +5 more
doaj   +1 more source

Using Time‐Space Double Radial Basis Function Method to Solve High‐Dimensional PDEs Arising from Multiasset Option Pricing

Discrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.
This paper develops a time‐space double radial basis function (TSDRBF) method to solve PDEs arising from multiasset option pricing. By TSDRBF discretization for the high‐dimensional PDEs, a linear system (LS) is obtained. After solving the LS, multi‐asset options of European and American style are restored, with number N of space discretization, number
Zhiqiang Zhou, Hongying Wu, Caijuan Kang, You Wu, Chun Wei   +4 more
wiley   +1 more source

Numerical Solution of High-Dimensional Shockwave Equations by Bivariate Multi-Quadric Quasi-Interpolation

Mathematics, 2019
Radial basis function-based quasi-interpolation performs efficiently in high-dimensional approximation and its applications, which can attain the approximant and its derivatives directly without solving any large-scale linear system.
Shenggang Zhang, Chungang Zhu, Qinjiao Gao   +2 more
doaj   +1 more source

New Solutions of Time‐ and Space‐Fractional Black–Scholes European Option Pricing Model via Fractional Extension of He‐Aboodh Algorithm

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The current study explores the space and time‐fractional Black–Scholes European option pricing model that primarily occurs in the financial market. To tackle the complexities associated with solving models in a fractional environment, the Aboodh transform is hybridized with He’s algorithm.
Mubashir Qayyum, Efaza Ahmad, Ammar Alsinai   +2 more
wiley   +1 more source

Numerical techniques for behavior of incompressible flow in steady two-dimensional motion due to a linearly stretching of porous sheet based on radial basis functions

Nonlinear Engineering, 2019
In this paper the boundary layer flow of a micro-polar fluid due to a linearly stretching sheet which is a non-linear system two-point boundary value problem (BVP) on semi-infinite interval has been considered.
Parand Kourosh, Lotfi Yasaman, Rad Jamal Amani   +2 more
doaj   +1 more source

Application of the Method of Initial Functions to Study Dynamics and Stress Distribution in Structural Members

Advances in Civil Engineering, Volume 2024, Issue 1, 2024.
This study investigates plate analyses employing the method of initial functions (MIFs) across various plate geometries and loading conditions. The conclusions derived from thick rectangular plates highlight substantial thickness‐induced effects on deflection and stress distributions.
Jitendra Namdeo, S. K. Dubey, Rahul Biswas, Rakesh Patel, Meng Gao   +4 more
wiley   +1 more source

Making conditionally negative definite radial basis function interpolation well-conditioned by adding cardinal basis functions

Ain Shams Engineering Journal, 2018
A class of basis functions so called well-conditioned RBF (WRBFs) has been introduced. This basis has been manipulated by adding cardinal functions to the conditionally negative definite RBFs of order 1, such as Multiquadric functions 1+(∊r)2 (MQ) and ...
Saeed Kazem, Edmund A. Chadwick, Ali Hatam   +2 more
doaj   +1 more source

An RBF‐LOD Method for Solving Stochastic Diffusion Equations

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this study, we introduce an innovative approach to solving stochastic equations in two and three dimensions, leveraging a time‐splitting strategy. Our method combines radial basis function (RBF) spatial discretization with the Crank–Nicolson scheme and the local one‐dimensional (LOD) method for temporal approximation.
Samaneh Mokhtari, Ali Mesforush, Reza Mokhtari, Rahman Akbari, M. M. Bhatti   +4 more
wiley   +1 more source

A Meshless MQ-RBF Approach with Artificial Viscosity for Shock-Resolved Shallow Water Flow Simulation [PDF]

E3S Web of Conferences
In this study, we introduce a meshless computational framework for simulating shallow water flows with shock phenomena using multiquadric radial basis functions (MQ-RBFs).
Bensaad Marwane, Es-Sabry Youssef, Chaabelasri Elmiloud   +2 more
doaj   +1 more source