first order ordinary differential equation
On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation
... DOI: 10.4236/jamp.2019.711175 2577 Journal of Applied Mathematics and Physics ure 6 and Figure 11) and diverge if ϕ = 1 (see Figure 14). These two schemes possess the highest absolute error of deviation from the analytic ...
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Stability Analysis of a Numerical Integrator for Solving First Order Ordinary Differential Equation
... In this paper, we used an interpolation function to derive a Numerical Inte- grator that can be used for solving first order Initial Value Problems in Or- dinary Differential Equation. The ...
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Nonlinear differential equations and algebraic systems
... We present a unified treatment for the general scalar, first-order, ordinary differential equation... Particular examples are linear equations, Riccati equations and Abel equations..[r] ...
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Stochastic Logistic Model for Fish Growth
... Resources generated through bio-reproduction processes and through bio-chemical processes constitute a rare and unique gift of the nature to the human race. These resources are renewable by the very nature of biological ...
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Application of First Order Differential Equation in Temperature Problems
... The first two classes contain only ordinary derivatives of one or more dependent variables with respect to single Independent variable and are known today as ordinary differential ...the ...
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Numerical Solution of First Order Ordinary Differential Equations
... An ordinary differential equation is formed in an attempt to eliminate certain arbitrary constant from a relation in the variables and ...for ordinary differential ...fractional ...
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On the convergence of a finite difference scheme for a second order differential equation containing nonlinearly a first derivative
... ABSTRACT. This note is concerned with the convergence of a finite difference scheme to the solu- tion of a second order ordinary differential equation with the right-hand-side nonlinearly ...
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Four-Step Block Method for Solving Third Order Ordinary Differential Equation
... Third order differential equations usually arise in many physical problems such as electromagnetic waves, thin film flow and gravity- driven ...third order ODEs have attracted considerable ...of ...
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A method for solving first order fuzzy differential equation
... Fuzzy differential equation systems, ordinary differential equation, partial differential equation, fuzzy linear system and similar ...
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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
... Ordinary differential equations (ODEs) are commonly used for mathematical modelling in many diverse fields such as engineering, operations research, industrial mathematics, behavioural sciences, artificial ...
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Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... partial differential equations in fractional case, and proposed a new fractional Riccati sub-equation method, where the sub-equation used is the fractional Riccati equation D α ξ ϕ = σ + ϕ 2 , ...
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Numerical Solution of First Order Ordinary Differential Equations
... An ordinary differential equation is formed in an attempt to eliminate certain arbitrary constant from a relation in the variables and ...for ordinary differential ...fractional ...
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The comparison of runge kutta and adams bashforh moulton methods for the first order ordinary differential equations
... of ordinary differential ...stiff differential equation as can be illustrated by the graph of its solution which showed a fast transient from y = 0 to 1 that occurs in less than ...given ...
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Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial condition
... partial differential equation and integral ...of first, second-order and higher-order homogeneous and nonhomoge- neous differential equations, in partial differential ...
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NUMERICAL SOLUTION OF THE INTERRELATED DIFFERENTIAL EQUATION OF MOTION IN PHONON ENGINEERING
... motion equation of atoms in a crystal with some simplification, results in a second order ordinary differential equation and two interrelated second order differential ...
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In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis
... patients’ first scheduled dialysis session. The first sample was drawn immediately before starting dialysis and the last sample was drawn immediately after the 4-hour dialysis ...
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Similarity Solution Of Plane Turbulent Mixing Layer
... As three initial conditions are required to solve a third order ordinary differential equation, the value of f´´(0) is necessary. But there is no such condition that the value of f´´(0) can be ...
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A new numerical integrator for the solution of stiff first order ordinary differential equations
... of first order initial value problem- ...the differential system to generate a continuous linear multistep method which was evaluated at some selected grid points and implement- ed in block method ...
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Five Steps Block Predictor Block Corrector Method for the Solution of y'' = f (x,y,y')
... We have considered two non-linear and two linear second order initial value problems in this paper as shown in Table 1 to Table 4. In [1] we compared our method with the existing methods like the block and block ...
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The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation
... nonlinear ordinary differential equation to generate more general solution and a rich class of new exact traveling wave solutions of nonlinear PDE, namely, the generalized Burgers- Fisher ...
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