Locally One-Dimensional Difference Scheme for the Third Boundary Value Problem for a Parabolic Equation of the General Form with a Nonlocal Source
Sign Up to like & getrecommendations! Published in 2018 at "Differential Equations"
DOI: 10.1134/s0012266118070042
Abstract: We consider a locally one-dimensional scheme for an equation of parabolic type of the general form in a p-dimensional parallelepiped, obtain an a priori estimate for its solution, and prove that the solutions of this… read more here.
Keywords: general form; one dimensional; scheme; equation ... See more keywords
Locally One-Dimensional Difference Scheme for a Nonlocal Boundary Value Problem for a Parabolic Equation in a Multidimensional Domain
Sign Up to like & getrecommendations! Published in 2020 at "Differential Equations"
DOI: 10.1134/s0012266120030088
Abstract: Abstract We study a nonlocal boundary value problem for a parabolic equation in the multidimensional case. A locally one-dimensional difference scheme is constructed to solve this problem numerically. A priori estimates are derived by the… read more here.
Keywords: difference; one dimensional; scheme; nonlocal boundary ... See more keywords