Results 121 to 130 of about 52,764 (220)

On the convergence of Galerkin approximations

open access: yes, 1970
Let X be a separable Banach space over the reals and let X· be its dual. If x ϵ  X and u ϵ X* we will write and lt;x, u and gt; instead of u (x).  Also, if P: X → X is a linear operator we will denote by  P* the adjoint from X* into X* which is defined by and lt;x, P* u and gt; = and lt;P x, u and gt;. The strong convergence in X will be denoted by
openaire   +2 more sources

A Galerkin Finite Element Method for a Nonlocal Parabolic System with Nonlinear Boundary Conditions Arising from the Thermal Explosion Theory

open access: yesMathematics
In this paper, we discuss a class of nonlocal parabolic systems with nonlinear boundary conditions arising from the thermal explosion theory. First, we prove the local existence and uniqueness of the classical solution using the Leray–Schauder fixed ...
Qipeng Guo, Yu Zhang, Baoqiang Yan
doaj   +1 more source

The effect of peristalsis on dispersion in Casson fluid flow

open access: yesAin Shams Engineering Journal
The present study examines the peristaltic flow of a non-Newtonian (Casson) fluid and solute transport through a flexible tube. Using the long-wavelength approximation, an analytical solution for the Casson fluid velocity is obtained in the axial and ...
P. Nagarani   +2 more
doaj   +1 more source

Mimetic Metrics for the DGSEM. [PDF]

open access: yesJ Sci Comput
Bach D   +3 more
europepmc   +1 more source

A novel adaptive multi-scale wavelet Galerkin method for solving fuzzy hybrid differential equations. [PDF]

open access: yesSci Rep
Murugesh V   +7 more
europepmc   +1 more source

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