first-order differential equation
Application of First Order Differential Equation in Temperature Problems
... of first order differential equation in temperature have been studied the method of separation of variables Newton’s law of cooling were used to find the solution of the temperature problems ...
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Differential Equation as a Solution for Population Problems
... Ordinary Differential Equations (ODEs) that arises from different applications of ...A first order differential equation is a differential equation that contains only ...
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Advanced Mathematical Methods for Scientists and Engineers pdf
... indicial equation, 1063 infinity first order differential equation, 671 inhomogeneous differential equations, 636 initial conditions, 653 inner product of functions, 1152 integers set of[r] ...
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On the convergence of a finite difference scheme for a second order differential equation containing nonlinearly a first derivative
... The first author is grateful to the Institute for Mathematics and its Applications for a travel grant to visit ICMC in Brazil and also to Fapesp grant #2013/07375- ...
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Chemical master versus chemical langevin for first-order reaction networks
... typically first-order. The Chemical Langevin Equation is a stochastic differential equation that can be regarded as an approximation to the underlying jump ...Langevin Equation ...
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The First Order Functional Differential Equation
... a differential equation, a fixed point theorem is used to prove the existence of solutions for equivalent operator equation which implies the existence results for the functional 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 equations ...
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Optimal lower bound for the first eigenvalue of fourth order measure differential equation
... Remark 4.2 In [11, 17], the authors have solved the minimization problem of eigenval- ues of the second order equation and pointed out that the critical measure of the Dirich- let eigenvalues is located at ...
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Epileptic seizure as a system of ordinary differential equation
... Linear and nonlinear differential equations appear in many applications. For example, dynamic systems, where the description of a system in state space is by vector nonlinear differential equations of ...
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A Method for Solving Fuzzy Differential Equations using fourth order Runge-kutta Embedded Heronian Means
... fuzzy differential equations leads a natural way to model dynamical systems under ...uncertainty.First order linear fuzzy differential equations are one of the simplest fuzzy differential ...
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The uniqueness theorem for inverse nodal problems with a chemical potential
... second-order differential equation having a chemical potential on a finite interval is ...investigated. First, we estimate the nodal points and nodal lengths of differential ...
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ABSTRACT : The paper deals with the analysis of L-R circuit by using linear differential equation of first order. A
... linear differential equation of first ...by differential equation. The general solution of differential equation represent the complete response of network ...of ...
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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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New Oscillation and Nonoscillation Criteria for a Class of Linear Delay Differential Equation
... Let us observe that function is a solution of the last differential equation. Let the initial functions is the function on [0, 1] and consider and be solutions of the first and second order ...
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First-Order Singular and Discontinuous Differential Equations
... In this case 2.1 only fails over the line x 0, but solutions coming from above that line collide with solutions coming from below and there is no way of continuing them to the right once they reach the level x 0. ...
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2. Stability of a linear integro-differential equation of first order with variable delays
... It is well known from the related literature that the IDEs are often used to model some practical problems in mechanics, physics, biology, ecology and the other scientific fields (see, e.g. Burton [5], Levin [10], Rahman ...
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A method for solving first order fuzzy differential equation
... fuzzy differential equation (F DE) has been rapidly growing in recent ...solving first order linear fuzzy differential equations and Allahviranloo ...
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On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation
... The derived simulation models have been tested with the control parameters ∝ and Q . We also applied the Nonstandard method by modifying denominator func- tion φ , which also provides for parameters λ and r that can be ...
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Existence and uniqueness of positive periodic solutions for a first order functional differential equation
... Functional differential equations with periodic delays appear in a number of ecological, economical, control and physiological models. During the past decades, there has been a significant development in the question of ...
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