scholarly journals Higher order continuous solution of y″ = f(x, y, y′) and y″ = f(x, y) initial value problems

1988 ◽  
Vol 16 (10-11) ◽  
pp. 895-902
Author(s):  
L. Deer ◽  
C. Outlaw ◽  
D. Sarafyan
Keyword(s):  
Initial Value Problems ◽  
Continuous Solution ◽  
Higher Order ◽  
Initial Value ◽  
Order Continuous

Initial value problems for higher-order fuzzy differential equations

2005 ◽  
Vol 63 (4) ◽  
pp. 587-600 ◽  
Author(s):  
D.N. Georgiou ◽  
Juan J. Nieto ◽  
Rosana Rodríguez-López
Keyword(s):  
Differential Equations ◽  
Initial Value Problems ◽  
Higher Order ◽  
Initial Value

A Collocation Method for Direct Numerical Integration of Initial Value Problems in Higher Order Ordinary Differential Equations

2011 ◽  
Vol 57 (2) ◽  
pp. 311-321
Author(s):  
R. Adeniyi ◽  
M. Alabi
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Numerical Integration ◽  
Collocation Method ◽  
Initial Value Problems ◽  
Higher Order ◽  
Initial Value ◽  
Integration Schemes ◽  
Collocation Technique ◽  
Direct Numerical Integration

A Collocation Method for Direct Numerical Integration of Initial Value Problems in Higher Order Ordinary Differential Equations This paper concerns the solution of initial value problems (IVPs) in ordinary differential equations (ODEs) of orders higher than unity. The Chebyshev polynomials is hereby adopted as basis function in a multi-step collocation technique for the derivation of continuous integration schemes for direct solution of these ODEs without recourse to the conventional approach of first reducing such to their equivalent first order differential systems.

scholarly journals A Reliable Analytical Method for Solving Higher-Order Initial Value Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Omar Abu Arqub ◽  
Zaer Abo-Hammour ◽  
Ramzi Al-Badarneh ◽  
Shaher Momani
Keyword(s):  
Analytical Method ◽  
Initial Value Problems ◽  
Higher Order ◽  
Initial Value ◽  
Reliable Analytical Method
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