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Sixth order numerical method for solving second order nonlinear boundary value problem

Năm XB 2023 Tạp chí / Hội thảo Lecture Notes in Networks and Systems Volume 847 LNNS Đơn vị KHCB DOI / Link https://doi.org/10.1007/978-3-031-49529-8_33 ↗

Tác giả

Tài liệu tham khảo

[1] Agarwal, R.P.: Boundary Value Problems for Higher Order Differential Equations. World Scientific, Singapore (1986)

[2] Costabile, F.A., Gualtieri, M.I., Serafini, G.: Cubic Lidstone-Spline for numerical solution of BVPs. Math. Comput. Simul 141, 56–64 (2017)

[3] Dang, Q.A., Dang, Q.L., Ngo, T.K.Q.: A novel efficient method for nonlinear boundary value problems. Numer. Algor 76, 427–439 (2017)

[4] Dang, Q.A., Ngo, T.K.Q.: Existence results and iterative method for solving the cantilever beam equation with fully nonlinear term. Nonlinear Anal. Real World Appl. 36, 56–68 (2017)

[5] Dang, Q.A., Dang, Q.L.: Simple numerical methods of second and third-order convergence for solving a fully third-order nonlinear boundary value problem. Numer. Algorithms 87, 1479–1499 (2021)

[6] Dang, Q.A., Nguyen, T.T.H.: Numerical method of sixth order convergence for solving a fourth order nonlinear boundary value problem. Appl. Math. Lett. 146, 108813 (2023)

[7] Li, J.: General explicit difference formulas for numerical differentiation. J. Comput. Appl. Math. 183(1), 29–52 (2005)

[8] Mohanty, R.K., Manchanda, G., Khan, A., Khurana, G.: A new high accuracy method in exponential form based on off-step discretization for non-linear two-point boundary value problems. J. Differ. Equ. Appl. 26(2), 171–202 (2020)

[9] Tirmizi, I.A., Twizell, E.H.: Higher-order finite difference methods for nonlinear second-order two-point boundary-value problems. Appl. Math. Lett. 15, 897–902 (2002)

[10] Hacıoğlu, E., Gürsoy, F., Maldar, S., Atalan, Y., Milovanović, G.V.: Iterative approximation of fixed points and applications to two-point second-order boundary value problems and to machine learning. Appl. Numer. Math. 167, 143–172 (2021)

[11] Khuri, S.A., Louhichi, I.: A novel Ishikawa–Green’s fixed point scheme for the solution of BVPs. Appl. Math. Lett. 82, 50–57 (2018)

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