[PDF] Top 20 A new numerical integrator for the solution of stiff first order ordinary differential equations
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A new numerical integrator for the solution of stiff first order ordinary differential equations
... to stiff ordinary differential equations (ODEs) where processes with widely varying time constants are usually ...that stiff initial val- ue problems were first encountered in ... See full document
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The Explicit Fatunla’s Method for First Order Stiff Systems of Scalar Ordinary Differential Equations: Application to Robertson Problem
... transient solution, which arises natural- ly in wide variety of applications including the study of spring and damping sys- tems, the analysis of control system and problems in the chemical kinetics [12] ...[13]. ... See full document
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Stability Analysis of a Numerical Integrator for Solving First Order Ordinary Differential Equation
... various Numerical Integrators using various tech- niques including interpolating functions that include the work of [1] [2] [3] [4] among ...for ordinary differential ...of first order ... See full document
9
Vol 7, No 8 (2016)
... of numerical analysis because of the properties of ...the numerical solution of problems which can be modeled with the help of differential or integral equations occur in various ...the ... See full document
10
The Adomian decomposition method for numerical solution of first-order differential equations
... approximate solution of both linear and non-linear first order ordinary initial value problems which occur most often in ...approximate solution tend to the exact ... See full document
8
Hybrid Numerical Method with Block Extension for Direct Solution of Third Order Ordinary Differential Equations
... [19] Duromola, M.K. and Bolarinwa, B. (2016) Fractional Step Method for the Numeri- cal Integration of Initial Value Problems of Third Order Ordinary Differential Equ- ations. Journal of Nigerian ... See full document
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On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation
... a numerical integrator that can be used for solving first order initial value problems in ordinary differential ...This numerical integrator has been tested for ... See full document
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Hybrid block predictor-hybrid block corrector for the solution of first-order ordinary differential equations
... the solution of first order initial value problems of ordinary differential ...approximate solution to generate a continuous implicit linear multistep ...some numerical ... See full document
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I. I NTRODUCTION C ONSIDER the initial value problems (IVP) x, y x0 , X yx0y(1) where fRm , can be solved using the hybrid linear multistep methods (HLMM)
... high order Obreshkov hybrid formulas are proposed for the numerical solution of first order initial value problems (IVPs) in ordinary differ- ential equations ...from ... See full document
11
Maximal Order Block Method For The Solution Of Second Order Ordinary Differential Equations
... adequate numerical method for finding the approximate solution to second order ordinary differential ...maximal order for the direct solution of second order ... 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 two-step ... See full document
7
A Numerical Solution of First order Simultaneous Fuzzy Differential Equations by Sixth Order Runge Kutta Method
... a new technique for getting the approximate solution of “First order Simultaneous Fuzzy differential equation by sixth order Runge-Kutta method” based on Seikkala derivative of ... See full document
10
A Numerical Solver for Second Order Stiff Ordinary Differential Equations
... second order ODE can be solved directly and ...solving stiff ODEs which possess some advantages such as providing two solutions at each step, no repetitive calculation on differentiation coefficients, ... See full document
8
Numerical Solution of First Order Ordinary Differential Equations
... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain ... See full document
10
Numerical Solution of First Order Ordinary Differential Equations
... Differential equations arise from many problems in oscillations of mechanical and electrical systems, bending of beams, conduction of heat, velocity of chemical reactions ...a differential equation: ... See full document
10
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
12
Numerical solution of stiff systems of differential equations arising from chemical reactions
... large stiff systems of initial value problems, aris- ing from chemical reactions, demands efficient methods with good accuracy and extensive absolute stability ...some stiff chemical problems such as ... See full document
15
Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method
... 11 times function evaluation is needed. At the moment, taking current X’s values as initial value and using New- ton method merely 4 times iteration the almost same re- sult was obtained. This fact shows that if ... See full document
8
The use of non polynomial interpolants in the numerical solution of ordinary differential equations
... of order q • However i t h a e also been nen tioned in th e lo o t Ch anter how oonnlio a ted and innr ao t iool are th e r a t io n al fo m iln e derived fron ... See full document
169
Numerical Solution of Linear Second Order Ordinary Differential Equations with Mixed Boundary Conditions by Galerkin Method
... different numerical methods used to approximate two-point boundary value problems in terms of differential equations are shooting method, finite difference methods, finite element methods (FEM), ... See full document
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