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Öğe Numerical solution of a semilinear elliptic equation via difference scheme(Amer Inst Physics, 2016) Beigmohammadi, Elif Ozturk; Demirel, EsraWe consider the Bitsadze-Samarskii type nonlocal boundary value problem {-d(2)v(t)/dt(2) + Bv(t) - h(t,v(t)), 0 < t < 1, v(0) = pi, v(1) = Sigma(J)(j=1) eta(j)v(lambda(j)) + xi, 0 < lambda(1) < ... < lambda(J) < 1 for a semilinear equation in a Hilbert space H with the self-adjoint positive definite operator B. For the approximate solution of problem (1), we use the first order of accuracy difference scheme. The numerical results are computed by MATLABÖğe Well-Posedness of a Fourth Order of Accuracy Difference Scheme for Bitsadze-Samarskii-Type Problem(Taylor & Francis Inc, 2017) Ashyralyev, Allaberen; Beigmohammadi, Elif OzturkIn the present study, a fourth order of accuracy difference scheme for the approximate solution of the Bitsadze-Samarskii type nonlocal boundary value problem with the integral condition is investigated. Theorem on well-posedness of the difference scheme in the difference analogue of Holder spaces with a weight is established. In applications, coercive stability estimates for the solutions of difference schemes of nonlocal boundary value problems for elliptic problems are obtained.