The Second-Order Accuracy Difference Schemes for Integral-Type Time-Nonlocal Parabolic Problems
Ashyralyev A. Ashyralyyev C.
August 2024Springer
Journal of Mathematical Sciences (United States)
2024#283Issue 2195 - 210 pp.
This is a discussion on the second order of accuracy difference schemes for approximate solution of the integral type time-nonlocal parabolic problems. Theorems on the stability of r-modified Crank–Nicolson difference schemes and second order of accuracy implicit difference scheme for approximate solution of the integral type time-nonlocal parabolic problems in a Hilbert space with self-adjoint positive definite operator are established. In practice, stability estimates for the solutions of the second order of accuracy in t difference schemes for the one- and multidimensional time-nonlocal parabolic problems are obtained. Numerical results are given.
Crank–Nicolson scheme , implicit difference scheme , nonlocal parabolic problem , second-order accuracy difference scheme , stability
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Bahcesehir University, Department of Mathematics, Istanbul, 34353, Turkey
Peoples Friendship University Russia, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics, National University of Uzbekistan Named After Mirzo Ulugbek, Tashkent, Uzbekistan
Bahcesehir University
Peoples Friendship University Russia
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
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