[PDF] Top 20 A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations
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A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations
... Abstract This paper focuses on derivation of a uniform order 8 implicit block method for the direct solution of general second order differential equations through continuous coefficient[r] ... See full document
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One-Step Implicit Hybrid Block Method for The Direct Solution of General Second Order Ordinary Differential Equations
... derive new numerical schemes of step number k 1 , for the solutions of initial value problems of ordinary differential ...hybrid block methods, in which different hybrid schemes are combined ... See full document
5
Maximal Order Block Method For The Solution Of Second Order Ordinary Differential Equations
... approximate solution to second order ordinary differential ...a block method of maximal order for the direct solution of second order initial ... See full document
7
NUMERICAL SOLUTION OF BLACK – SCHOLES PARTIAL DIFFERENTIAL EQUATION USING DIRECT SOLUTION OF SECOND - ORDER ORDINARY DIFFERENTIAL EQUATION WITH TWO - STEP HYBRID BLOCK METHOD OF ORDER SEVEN
... a new numerical solution of Black-Scholes Partial Differential Equation using Direct solution of second-order Ordinary Differential Equation ODE with ... See full document
7
A New One Twelfth Step Continuous Block Method for the Solution of Modeled Problems of Ordinary Differential Equations
... In this section, we discuss the strategy for the implementation of the method. In addition, the performance of the method is tested on some modeled examples of second order initial value problems in ... See full document
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An Accurate Five Off Step Points Implicit Block Method for Direct Solution of Fourth Order Differential Equations
... of equations by any of the existing methods of solving first order ordinary dif- ferential ...specific ordinary differential equation, such as oscillatory nature of the ...numerical ... See full document
14
Solution of Second Order Ordinary Differential Equations via Simulated Annealing
... evolutionary algorithms for solving optimization problems has been gaining interests over the last few ...These algorithms use mechanisms inspired by biological evolution, such as reproduction, ... See full document
6
Collocation Techniques for Block Methods for the Direct Solution of Higher Order Initial Value Problems of Ordinary Differential Equations
... additional equations were supplied from a different formulation, all the required additional equations are obtained from the same continuous ...the block method was also investigated and revelations ... See full document
6
Implicit Two point Block Method with Third and Fourth Derivatives for Solving General Second Order ODEs
... an implicit two-point block method for solving directly the general second order ordinary differential equations ...two-point block method is compared in term of ... See full document
8
A Fifth-fourth Continuous Block Implicit Hybrid Method for the Solution of Third Order Initial Value Problems in Ordinary Differential Equations
... new method preserves the traditional Runge-kutta advantage of being self-starting. The paper is organized as follows: Section two considers the method and the materials for the development of method. Section three ... See full document
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A 4-Point Block Method for Solving Second Order Initial Value Problems in Ordinary Differential Equations
... that can solve (1) above. Some authors have attempted solving (1) numerically by first reducing it to a system of first order equations. Notable among these authors are [1] and [2]. In spite of the success ... See full document
6
On One Justification on the Use of Hybrids for the Solution of First Order Initial Value Problems of Ordinary Differential Equations
... Continuous implicit hybrid one step methods for the solution of initial value problems of general second order ordinary differential ...in block form for the ... See full document
7
Two and Three point Implicit Second Derivative Block Methods for Solving First Order Ordinary Differential Equations
... [3] OK Famurewa, RA Ademiluyi, and DO Awoyemi. A comparative study of a class of implicit multi-derivative meth- ods for numerical solution of non-stiff and stiff first order ordinary ... See full document
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Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations
... the direct solution of (1), among which are Lambert [1], Fatunla [2], Sarafyan [3], Awoyemi [4] and Kayode ...first order differential ...solve second order initial value ... See full document
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A Numerical Solver for Second Order Stiff Ordinary Differential Equations
... a new direct numerical solver of second order ordinary differential equations ...using block backward differentiation formula (BBDF) method with strategy on step ... See full document
8
Solving Third Order Ordinary Differential Equations Using One-Step Block Method with Four Equidistant Generalized Hybrid Points
... hybrid block method has shown better accuracy with less and equal number of steps in comparison to [2] and [11] ...higher order [5], [7], [15], the hybrid block method has also competed ...hybrid ... See full document
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IMPLICIT BLOCK HYBRID-LIKE METHOD FOR SOLVING SYSTEM OF FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
... first order ODEs while Problems 4 and 5 cover the systems of four first order ...and implicit block hybrid-like methods are implemented in predictor-corrector mode to solve these systems in ... See full document
7
A new numerical integrator for the solution of stiff first order ordinary differential equations
... In quest for the method that gives better stability condition, scholars proposed an approximate solution which combined power series polynomial and exponential function [7]. It was discov- ered that this method ... See full document
10
Half Step Continuous Block Method for the Solutions of Modeled Problems of Ordinary Differential Equations
... 1-3 because the iteration per step in the new method was lower than the method proposed by [17]. Our method was found to be zero stable, consistent and converges. Figure 1 shows the region of absolute stability. ... See full document
9
Application of Numerovs Method on Second Order Ordinary Differential Equations
... the differential equation of second order and finds the numerical solutions of second order differential equations with the various ...the second order ... See full document
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