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A Numerical Study of Generalized Multiquadric Radial Basis Function Interpolation
SIAM Undergraduate Research Online, 2009 This work focuses on the generalized multiquadric (GMQ) radial basis function. The GMQ is derived from the multiquadric (MQ), which is used in radial basis function (RBF) interpolation. This is a relatively new field of research, and many properties of the GMQ are still unknown.
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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 +4 more
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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 +2 more
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Journal of Applied Mathematics, 2014 By using the polynomial expansion in the even order Bernoulli polynomials and using the linear combinations of the shifts of the function f(x)(x∈ℝ) to approximate the derivatives of f(x), we propose a family of modified even order Bernoulli-type ...
Ruifeng Wu, Huilai Li, Tieru Wu
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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 +4 more
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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 +4 more
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Radial Basis Function (RBF) Interpolation and Investigating its Impact on Rainfall Duration Mapping [PDF]
آب و فاضلاب, 2012 The missing data in database must be reproduced primarily by appropriate interpolation techniques. Radial basis function (RBF) interpolators can play a significant role in data completion of precipitation mapping.
Hassan Derakhshan, Naser Talebbeydokhti
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A mesh-free algorithm for ROF model
EURASIP Journal on Advances in Signal Processing, 2017 The total variation (TV) denoising method is a PDE-based technique that preserves the edges well but has undesirable staircase effect in some cases, namely, the translation of smooth regions (ramps) into piecewise constant regions (stairs).
Mushtaq Ahmad Khan +3 more
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Advances in Difference Equations, 2020 This paper discusses the functional scattered data interpolation to interpolate the general scattered data. Compared with the previous works, we construct a new cubic Bézier-like triangular basis function controlled by three shape parameters.
Samsul Ariffin Abdul Karim +5 more
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Differential quadrature method for space-fractional diffusion equations on 2D irregular domains
, 2018 In mathematical physics, the space-fractional diffusion equations are of particular interest in the studies of physical phenomena modelled by L\'{e}vy processes, which are sometimes called super-diffusion equations.
Liu, F. +3 more
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