A Stable Difference Scheme for a Third-Order Partial Differential Equation
Ashyralyev A. Belakroum K.
January 2022Springer
Journal of Mathematical Sciences (United States)
2022#260Issue 4399 - 417 pp.
The nonlocal boundary-value problem for a third-order partial differential equation{d3u(t)dt3+Adu(t)dt=f(t),0|α+β|,0<λ≤1 in a Hilbert space H with a self-adjoint positive definite operator A is considered. A stable three-step difference scheme for the approximate solution of the problem is presented. The main theorem on stability of this difference scheme is established. As applications, the stability estimates for the solution of difference schemes of the approximate solution of three nonlocal boundary-value problems for third-order partial differential equations are obtained. Numerical results for one- and two-dimensional third-order partial differential equations are provided.
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Department of Mathematics, Near East University, North Nicosia, Turkey
Peoples’ Friendship University of Russia (RUDN University), Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Fréres Mentouri University, Constantine, Algeria
Department of Mathematics
Peoples’ Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Fréres Mentouri University
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