Results 11 to 20 of about 87,373,027 (240)

Fictitious Time Integration Method of Fundamental Solutions with Chebyshev Polynomials for Solving Poisson-type Nonlinear PDEs

open access: yesComputer Modeling in Engineering & Sciences, 2010
The fictitious time integration method (FTIM) previously developed by Liu and Atluri (2008a) is combined with the method of fundamental solutions and the Chebyshev polynomials to solve Poisson-type nonlinear PDEs. The method of fundamental solutions with Chebyshev polynomials (MFS-CP) is an exponentially-convergent meshless numerical method which is ...
Tsai, Chia-Cheng   +2 more
openaire   +3 more sources

The method of fundamental solutions for Helmholtz-type problems [PDF]

open access: yes, 2013
The purpose of this thesis is to extend the range of application of the method fundamental solutions (MFS) to solve direct and inverse geometric problems associated with two- or three-dimensional Helmholtz-type equations.
Bin-Mohsin, Bandar Abdullah
core   +6 more sources

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]

open access: yes, 2013
Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Dolean Maini, Victorita   +5 more
core   +4 more sources

Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]

open access: yes, 2013
We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
core   +4 more sources

Stochastic PDEs with multiscale structure [PDF]

open access: yes, 2012
We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer   +3 more
core   +1 more source

Mixed convection MHD hybrid nanofluid over a shrinking permeable inclined plate with thermal radiation effect

open access: yesAlexandria Engineering Journal, 2023
In many applications, hybrid nanofluids showed superior heat transfer outcomes; nevertheless, further study is needed to expand the range of applications for hybrid nanofluids.
Nur Syahirah Wahid   +3 more
doaj   +1 more source

Free convection channel flow of couple stress casson fluid: A fractional model using Fourier’s and Fick’s laws

open access: yesFrontiers in Physics, 2023
Fractional calculus is a branch of mathematics that develops from the usual definitions of calculus integral and derivative operators, just as fractional exponents emerge from integer exponents.
Shafiq Ahmad   +4 more
doaj   +1 more source

Global Dynamics of an HTLV-I and SARS-CoV-2 Co-Infection Model with Diffusion

open access: yesMathematics, 2023
Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is a novel respiratory virus that causes coronavirus disease 2019 (COVID-19). Symptoms of COVID-19 range from mild to severe illness.
Ahmed M. Elaiw   +3 more
doaj   +1 more source

Heat Transfer of Buoyancy and Radiation on the Free Convection Boundary Layer MHD Flow across a Stretchable Porous Sheet

open access: yesEnergies, 2022
Theoretical influence of the buoyancy and thermal radiation effects on the MHD (magnetohydrodynamics) flow across a stretchable porous sheet were analyzed in the present study.
Hari Mohan Srivastava   +5 more
doaj   +1 more source

Fundamental solutions for a class of hypoelliptic PDE generated by composition of quadratic forms [PDF]

open access: yesTransactions of the American Mathematical Society, 1980
We introduce a class of nilpotent Lie groups which arise naturally from the notion of composition of quadratic forms, and show that their standard sublaplacians admit fundamental solutions analogous to that known for the Heisenberg group.
openaire   +1 more source

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