Developing Block Method of Order Seven for Solving Third Order Ordinary Differential Equations Directly using Multistep Collocation Approach

Z. Omar; J. O. Kuboye

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Developing Block Method of Order Seven for Solving Third Order Ordinary Differential Equations Directly using Multistep Collocation Approach

机译：用多步配点法直接求解三阶常微分方程的七阶开发模块法

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摘要

This paper considers the development of block method for solving third order ordinary differential equations. The method is developed through multistep collocation approach where power series approximate solution is used as the basic polynomial. The properties of the block is established, that is zero stability, consistency, order and the region of absolute stability. The method is simultaneously applied to initial value problems and it was found better when comparison is made with the existing methods.

机译：本文考虑了求解三阶常微分方程的分块方法的发展。该方法是通过多步配置方法开发的，其中幂级数近似解用作基本多项式。建立块的属性，即零稳定性，一致性，顺序和绝对稳定性区域。该方法同时应用于初始值问题，与现有方法进行比较发现更好。

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《International Journal of Applied Mathematics & Statistics》 |2015年第3期|共9页
作者
Z. Omar; J. O. Kuboye;
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正文语种 eng
中图分类计量学;
关键词
Power Series; Collocation; Block method; Third Order Ordinary Differential Equations; Direct Solution;

机译：幂级数;排列;块法;三阶常微分方程;直接解;

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专利

1. Developing Block Method of Order Seven for Solving Third Order Ordinary Differential Equations Directly using Multistep Collocation Approach [J] . Z. Omar, J. O. Kuboye International Journal of Applied Mathematics & Statistics . 2015,第3期

机译：用多步配点法直接求解三阶常微分方程的七阶开发模块法
2. Derivation of Block Methods for Solving Second Order Ordinary Differential Equations Directly using Direct Integration and Collocation Approaches [J] . Z. Omar, J. O. Kuboye Indian Journal of Science and Technology . 2015,第12期

机译：直接积分和搭配方法直接求解二阶常微分方程的块法的推导
3. Two-point block variable order step size multistep method for solving higher order ordinary differential equations directly [J] . Ahmad Fadly Nurullah Rasedee, Mohammad Hasan Abdul Sathar, Siti Raihana Hamzah, Journal of King Saud University . 2021,第3期

机译：两点块可变顺序步骤尺寸MultiSep方法直接解决高阶常微分方程
4. Unified approach for solving initial valued and boundary valued ordinary differential equations using wavelet collocation method [C] . Vakaskar D.C., Mredula K.P. Nirma University International Conference on Engineering . 2013

机译：小波配点法求解初值和边值常微分方程的统一方法
5. High-order Multistep Asynchronous Splitting Methods (MASM) for the numerical solution of multiple-time-scale ordinary differential equations. [D] . Gudla, Pradeep Kumar. 2016

机译：多时间尺度常微分方程数值解的高阶多步异步分裂方法（MASM）。
6. Contribution to Speeding-Up the Solving of Nonlinear Ordinary Differential Equations on Parallel/Multi-Core Platforms for Sensing Systems [O] . Vahid Tavakkoli, Kabeh Mohsenzadegan, Jean Chamberlain Chedjou, 2020

机译：用于加速对照对传感系统并行/多核平台的非线性常微分方程的贡献
7. Developing parallel 3-point implicit block method for solving second order ordinary differential equations directly ud [O] . Omar Zurni 2004

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Developing Block Method of Order Seven for Solving Third Order Ordinary Differential Equations Directly using Multistep Collocation Approach

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