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Publication Date

Thu Apr 27 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Volume

26

Issue Number

2

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Existence and Uniqueness of The Solution of Nonlinear Volterra Fuzzy Integral Equations

Volterra fuzzy integral equations

Eman A.

Ayad W.

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In this paper, we proved the existence and uniqueness of the solution of nonlinear Volterra fuzzy integral equations of the second kind.

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Publication Date

Mon Aug 01 2022

Journal Name

Baghdad Science Journal

Accurate Four-Step Hybrid Block Method for Solving Higher-Order Initial Value Problems

Accuracy

Block Method

Convergence

Higher-Order

Initial Value Problems (IVPs)

Ordinary Differential Equations

AMS Group: 65L05

65L06

65L10

Olanegan, O.

Adeyefa, E.

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This paper focuses on developing a self-starting numerical approach that can be used for direct integration of higher-order initial value problems of Ordinary Differential Equations. The method is derived from power series approximation with the resulting equations discretized at the selected grid and off-grid points. The method is applied in a block-by-block approach as a numerical integrator of higher-order initial value problems. The basic properties of the block method are investigated to authenticate its performance and then implemented with some tested experiments to validate the accuracy and convergence of the method.

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