An optimized two-step hybrid block method for solving general second order initial-value problems
A new optimized two-step hybrid block method for the numerical integration of general
second-order initial value problems is presented. The method considers two intra-step …
second-order initial value problems is presented. The method considers two intra-step …
Solving second order initial value problems by a hybrid multistep method without predictors
SN Jator - Applied Mathematics and Computation, 2010 - Elsevier
A three-step seventh order hybrid linear multistep method (HLMM) with three non-step
points is proposed for the direct solution of the special second order initial value problems …
points is proposed for the direct solution of the special second order initial value problems …
[PDF][PDF] A SIXTH ORDER LINEAR MULTISTEP METHOD FOR
SN Jator - International journal of pure and applied Mathematics, 2007 - researchgate.net
A linear multistep method (LMM) with continuous coefficients is considered and directly
applied to solve second order initial value problems (IVPs). The continuous method is used …
applied to solve second order initial value problems (IVPs). The continuous method is used …
A self-starting linear multistep method for a direct solution of the general second-order initial value problem
SN Jator, J Li - International Journal of Computer Mathematics, 2009 - Taylor & Francis
In this paper, we propose a linear multistep method of order 5 that is self-starting for the
direct solution of the general second-order initial value problem (IVP). The method is derived …
direct solution of the general second-order initial value problem (IVP). The method is derived …
[PDF][PDF] One-step implicit hybrid block method for the direct solution of general second order ordinary differential equations
TA Anake, DO Awoyemi, AO Adesanya - IAENG International Journal of …, 2012 - iaeng.org
A one-step implicit hybrid block solution method for initial value problems of general second
order ordinary differential equations has been studied in this paper. The onestep method is …
order ordinary differential equations has been studied in this paper. The onestep method is …
An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems
This manuscript presents a one-step method incorporating a second-derivative applied to
obtain approximate solutions of first-order initial-value problems of ordinary and time …
obtain approximate solutions of first-order initial-value problems of ordinary and time …
[HTML][HTML] A unified approach for the development of k-step block Falkner-type methods for solving general second-order initial-value problems in ODEs
H Ramos, S Mehta, J Vigo-Aguiar - Journal of Computational and Applied …, 2017 - Elsevier
A family of k-step block multistep methods where the main formulas are of Falkner type is
proposed for the direct integration of the general second order initial-value problem where …
proposed for the direct integration of the general second order initial-value problem where …
Direct solution of second-order ordinary differential equation using a single-step hybrid block method of order five
R Abdelrahim, Z Omar - Mathematical and Computational Applications, 2016 - mdpi.com
This paper proposes a new hybrid block method of order five for solving second-order
ordinary differential equations directly. The method is developed using interpolation and …
ordinary differential equations directly. The method is developed using interpolation and …
An Optimized Two-Step Hybrid Block Method Formulated in Variable Step-Size Mode for Integrating Numerically.
G Singh, H Ramos Calle - Numerical Mathematics: Theory …, 2019 - gredos.usal.es
[EN] An optimized two-step hybrid block method is presented for integrating general second
order initial value problems numerically. The method considers two intra-step points which …
order initial value problems numerically. The method considers two intra-step points which …
The solution of high-order nonlinear ordinary differential equations by Chebyshev series
A Akyüz-Daşcıoğlu, H Çerdi - Applied Mathematics and Computation, 2011 - Elsevier
By the use of the Chebyshev series, a direct computational method for solving the higher
order nonlinear differential equations has been developed in this paper. This method …
order nonlinear differential equations has been developed in this paper. This method …