Efficient Layer-Resolving Fitted Mesh Finite Difference Approach for Solving a System of n Two-Parameter Singularly Perturbed Convection–Diffusion Delay Differential Equations.

Συγγραφείς: Mathiyazhagan, Joseph Paramasivam¹ (AUTHOR), Arthur, Jenolin^1,2 (AUTHOR), Chatzarakis, George E.^1,2 (AUTHOR), Panetsos, S. L.² (AUTHOR) spanetsos@aspete.gr

Πηγή: Axioms (2075-1680). Apr2025, Vol. 14 Issue 4, p246. 30p.

Θεματικοί όροι: *BOUNDARY layer equations, *FINITE differences, *FINITE difference method

Advanced Fitted Mesh Finite Difference Strategies for Solving 'n' Two-Parameter Singularly Perturbed Convection–Diffusion System.

Συγγραφείς: Arthur, Jenolin¹ (AUTHOR), Mathiyazhagan, Joseph Paramasivam^1,2 (AUTHOR), Chatzarakis, George E.^1,2 (AUTHOR), Panetsos, S. L.² (AUTHOR) spanetsos@aspete.gr

Πηγή: Axioms (2075-1680). Mar2025, Vol. 14 Issue 3, p171. 25p.

Θεματικοί όροι: *BOUNDARY layer equations, *FINITE differences, *FINITE difference method, *BOUNDARY layer (Aerodynamics), *DIFFERENTIAL equations, *TRANSPORT equation

A SIXTH-ORDER ACCURACY CONSERVATIVE LINEAR FINITE DIFFERENCE SCHEME FOR RLW EQUATION.

Συγγραφείς: Mao-Bo ZHENG¹, Jin-Song HU¹ hjsong1@cdtu.edu.cn, Wen-Yong YAN¹, Zhong CHEN²

Πηγή: Thermal Science. 2025, Vol. 29 Issue 2A, p1063-1069. 7p.

Θεματικοί όροι: *FINITE differences, *INITIAL value problems, *BOUNDARY value problems, *WAVE equation, *TAYLOR'S series

Numerical Solution of Mathematical Model of Heat Conduction in Multi-Layered Nanoscale Solids.

Συγγραφείς: Coronel, Aníbal¹ (AUTHOR) acoronel@ubiobio.cl, Hess, Ian² (AUTHOR) ihess@uct.cl, Huancas, Fernando³ (AUTHOR) fhuancas@utem.cl, Chiroque, José⁴ (AUTHOR) jchiroqueba@unprg.edu.pe

Πηγή: Axioms (2075-1680). Feb2025, Vol. 14 Issue 2, p105. 23p.

Θεματικοί όροι: *FINITE differences, *INITIAL value problems, *HEAT flux, *HEAT conduction, *MATHEMATICAL models

A Novel Neural Network-Based Approach Comparable to High-Precision Finite Difference Methods.

Συγγραφείς: Pei, Fanghua¹ (AUTHOR) 371102a29nj.cdb@sin.cn, Cao, Fujun² (AUTHOR) caofujun@imust.edu.cn, Ge, Yongbin^1,3 (AUTHOR) caofujun@imust.edu.cn

Πηγή: Axioms (2075-1680). Jan2025, Vol. 14 Issue 1, p75. 22p.

Θεματικοί όροι: *FINITE difference method, *FINITE differences, *DEEP learning, *PARTIAL differential equations, *LINEAR systems

A Quintic Spline-Based Computational Method for Solving Singularly Perturbed Periodic Boundary Value Problems.

Συγγραφείς: Arumugam, Puvaneswari¹ (AUTHOR) puvaneswari@aubit.edu.in, Thynesh, Valanarasu² (AUTHOR) valanarasu@bdu.ac.in, Muthusamy, Chandru³ (AUTHOR) chandru.m@vit.ac.in, Ramos, Higinio⁴ (AUTHOR) higra@usal.es

Πηγή: Axioms (2075-1680). Jan2025, Vol. 14 Issue 1, p73. 12p.

Θεματικοί όροι: *BOUNDARY value problems, *FINITE differences, *SINGULAR perturbations, *SPLINES

Polarization-desensitization dynamically adjustable quintuple plasmon-induced transparency multi-frequency modulator based on graphene metamaterial.

Συγγραφείς: Zhou, Fengqi^1,2 (AUTHOR) Zhoufengqi2004@163.com, Ji, Cheng¹ (AUTHOR), Liu, Zhimin¹ (AUTHOR), Jiang, Nan^2,3 (AUTHOR)

Πηγή: Journal of Applied Physics. 10/14/2024, Vol. 136 Issue 14, p1-10. 10p.

Θεματικοί όροι: *FINITE differences, *AMPLITUDE modulation, *FERMI level, *OPTOELECTRONIC devices, *METAMATERIALS, *FINITE difference time domain method

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

Συγγραφείς: Zhou, Zhiqiang¹ (AUTHOR), Wu, Hongying² (AUTHOR) wuhongying@xnu.edu.cn, Kang, Caijuan¹ (AUTHOR), Wu, You¹ (AUTHOR), Wei, Chun (AUTHOR)

Πηγή: Discrete Dynamics in Nature & Society. 9/14/2024, Vol. 2024, p1-20. 20p.

Θεματικοί όροι: *RADIAL basis functions, *FINITE differences, *LINEAR systems, *PRICES

A new approach on the stability and convergence of a time-space nonuniform finite difference approximation of a degenerate Kawarada problem.

Συγγραφείς: Torres, Eduardo Servin¹ (AUTHOR) Eduardo_Servin1@baylor.edu, Sheng, Qin¹ (AUTHOR)

Πηγή: International Journal of Computer Mathematics. Sep/Oct2024, Vol. 101 Issue 9/10, p1168-1187. 20p.

Θεματικοί όροι: *FINITE difference method, *FINITE differences, *NONLINEAR equations, *MATHEMATICAL analysis, *PETROLEUM industry

Sixth-order finite difference schemes for nonlinear wave equations with variable coefficients in three dimensions.

Συγγραφείς: Wang, Shuaikang^1,2 (AUTHOR), Ge, Yongbin¹ (AUTHOR) gybnxu@yeah.net, Ma, Tingfu³ (AUTHOR)

Πηγή: International Journal of Computer Mathematics. Sep/Oct2024, Vol. 101 Issue 9/10, p973-988. 16p.

Θεματικοί όροι: *FINITE differences, *DIFFERENCE equations, *EXTRAPOLATION, *INTERPOLATION

Conservative second-order finite difference method for Camassa–Holm equation with periodic boundary condition.

Συγγραφείς: Xu, Yufeng¹ (AUTHOR), Zhao, Pintao¹ (AUTHOR), Ye, Zhijian¹ (AUTHOR), Zheng, Zhoushun¹ (AUTHOR) 2009zhengzhoushun@163.com

Πηγή: International Journal of Computer Mathematics. Sep/Oct2024, Vol. 101 Issue 9/10, p1012-1030. 19p.

Θεματικοί όροι: *FINITE difference method, *FINITE differences, *DIFFERENCE operators, *CONSERVATION of mass, *EQUATIONS

On Finite Difference Jacobian Computation in Deformable Image  Registration.

Συγγραφείς: Liu, Yihao¹ (AUTHOR) yliu236@jhu.edu, Chen, Junyu² (AUTHOR), Wei, Shuwen¹ (AUTHOR), Carass, Aaron¹ (AUTHOR), Prince, Jerry¹ (AUTHOR)

Πηγή: International Journal of Computer Vision. Sep2024, Vol. 132 Issue 9, p3678-3688. 11p.

Θεματικοί όροι: *FINITE differences, *DIGITAL transformation, *SOURCE code, *INDIVIDUAL differences, *INTERPOLATION

Improving the precision of forces in real-space pseudopotential density functional theory.

Συγγραφείς: Roller, Deena¹ (AUTHOR), Rappe, Andrew M.² (AUTHOR), Kronik, Leeor¹ (AUTHOR) leeor.kronik@weizmann.ac.il, Hellman, Olle¹ (AUTHOR) olle.hellman@weizmann.ac.il

Πηγή: Journal of Chemical Physics. 8/21/2024, Vol. 161 Issue 7, p1-13. 13p.

Θεματικοί όροι: *DENSITY functional theory, *FINITE differences, *VIBRATIONAL spectra, *SMALL molecules, *INTERPOLATION

Numerical Solution of Third-Order Rosenau–Hyman and Fornberg–Whitham Equations via B-Spline Interpolation Approach.

Συγγραφείς: Akbar, Tanveer¹ (AUTHOR), Haq, Sirajul¹ (AUTHOR), Arifeen, Shams Ul² (AUTHOR), Iqbal, Azhar³ (AUTHOR) aiqbal@pmu.edu.sa

Πηγή: Axioms (2075-1680). Aug2024, Vol. 13 Issue 8, p501. 14p.

Θεματικοί όροι: *COLLOCATION methods, *FINITE differences, *INTERPOLATION, *EQUATIONS, *QUINTIC equations

Investigation of thermo-mechanical coupled behavior within irradiated biological tissues with temperature-dependent properties.

Συγγραφείς: Wang, Y. Z.¹ (AUTHOR) wyz3701320@ujs.edu.cn, Lu, X. Y.¹ (AUTHOR), Wang, Z.¹ (AUTHOR), Zheng, W. B.¹ (AUTHOR)

Πηγή: Mechanics of Advanced Materials & Structures. 2024, Vol. 31 Issue 15, p3174-3184. 11p.

Θεματικοί όροι: *LASER heating, *FINITE differences, *LASER pulses, *TEMPERATURE effect, *THERMOELASTICITY

Thermal contraction coordination behavior between unbound aggregate layer and asphalt mixture overlay based on the finite difference and discrete element coupling method.

Συγγραφείς: Wan, Tongtong¹ (AUTHOR), Wang, Hainian¹ (AUTHOR) wanghn@chd.edu.cn, Yang, Xu¹ (AUTHOR), Chen, Yu¹ (AUTHOR), Li, Lian^1,2 (AUTHOR), Diab, Aboelkasim³ (AUTHOR)

Πηγή: Computer-Aided Civil & Infrastructure Engineering. Jul2024, Vol. 39 Issue 14, p2140-2158. 19p.

Θεματικοί όροι: *DISCRETE element method, *FINITE differences, *COMPOSITE structures, *PARTICLE motion

Alternative finite strain viscoelastic models: constant and strain rate-dependent viscosity.

Συγγραφείς: Hayashi, Eduardo Yuiti¹ (AUTHOR), Coda, Humberto Breves¹ (AUTHOR) hbcoda@sc.usp.br

Πηγή: Acta Mechanica. Jun2024, Vol. 235 Issue 6, p3699-3719. 21p.

Θεματικοί όροι: *FINITE differences, *VISCOSITY, *VISCOELASTIC materials, *STRAIN rate, *STRAIN tensors, *SOLID mechanics

Ab initio simulation of spin-vibronic spectra of methoxy radical.

Συγγραφείς: Sharma, Ketan, Vasilyev, Oleg A., Stanton, John F., Miller, Terry A.

Πηγή: Journal of Chemical Physics; 5/14/2025, Vol. 162 Issue 18, p1-18, 18p

Θεματικοί όροι: POTENTIAL energy surfaces, LANCZOS method, VIBRONIC coupling, ELECTRON spin, FINITE differences, EIGENVECTORS

A novel hybrid 2D-FDTD-PML and Nelder–Mead methods for estimating liquid complex permittivity using a rectangular waveguide.

Συγγραφείς: Talmoudi, Omaima, Benali, Lahcen Ait, Terhzaz, Jaouad, Tribak, Abdelwahed, Fernández-Ibáñez, Tomás

Πηγή: Journal of Applied Physics; 4/14/2025, Vol. 137 Issue 14, p1-7, 7p

Θεματικοί όροι: OPTIMIZATION algorithms, COMPLEX fluids, DIELECTRIC materials, LIQUID dielectrics, FINITE differences, PERMITTIVITY measurement

Stochastic zeroth order descent with structured directions.

Συγγραφείς: Rando, Marco¹ (AUTHOR) marco.rando@edu.unige.it, Molinari, Cesare² (AUTHOR), Villa, Silvia² (AUTHOR), Rosasco, Lorenzo^1,3,4 (AUTHOR)

Πηγή: Computational Optimization & Applications. Dec2024, Vol. 89 Issue 3, p691-727. 37p.

Θεματικοί όροι: *STOCHASTIC convergence, STOCHASTIC orders, FINITE differences, SMOOTHNESS of functions, CONVEX functions