second-order linear ordinary differential equation
Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial condition
... of differential equations as first credited to Alisina and Gar [1], who were the first to considered the Hyers-Ulam stability of differential ...the differential equation y 0 = y: That if ...
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Hyers-Ulam-Rassias stability of nth order linear ordinary differential equations with initial conditions
... nonhomogeneous second order Linear Differential Equations of the form y 00 + p ( x ) y 0 + q ( x ) y + r ( x ) = 0 under some special ...for second order linear ...
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The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation
... the second-order linear ordinary differential ...the second-order nonlinear ordinary differential equation is a promising mathematical tool, because, ...
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Numerical Solution of Linear Second Order Ordinary Differential Equations with Mixed Boundary Conditions by Galerkin Method
... solved second order ordinary differential equation with Neumann and Cauchy boundary conditions using Hermite polynomials, in [10] a parametric cubic spline solution of two point ...
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A program for predicting the intervals of oscillations in the solutions of ordinary second order linear homogeneous differential equations
... Equation () also predicts a region of no oscillation around x = , but this region is too narrow for a break in oscillation to be observed in Figure . We call this solution (a poly- nomial of degree λ = ) ...
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A powerful diagnostic tool of analytic solutions of ordinary second order linear homogeneous differential equations
... the ordinary second-order linear homogeneous (OSLH) differential equations are known to possess analytic, closed-form solutions and there is no general theory to predict whether such solutions ...
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On the convergence of a finite difference scheme for a second order differential equation containing nonlinearly a first derivative
... a second order ordinary differential equation with the right-hand-side nonlinearly dependent on the first ...the linear growth of the elements of the inverse of a certain matrix ...
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Philos-type oscillation criteria for second-order linear impulsive differential equation with damping
... the ordinary differential equation ...differential equation, particularly for the oscillatory properties of differential ...the second-order linear differential equation with ...
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THE EXISTENCE OF POSITIVE SOLUTIONS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATION WITH BOUNDER VALUE PROBLEM IN THE BANACH SPACE
... the differential equation ...semi linear elliptic equation ∆𝑢 + 𝑔 𝑥 𝑓 𝑢 = 0 in the annulus 𝑅 1 < 𝑥 < 𝑅 2 subject to certain boundary conditions for 𝑅 1 = 𝑥 and 𝑥 = 𝑅 2 we refer to [10] ...
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COMPOSITE RUNGE KUTTA METHOD FOR OIL PRODUCTION MODEL BY USING INTUITIONISTIC FUZZY DIFFERENTIAL EQUATION
... discussed differential and partial differential equations under intuitionistic fuzzy ...fuzzy linear differential ...fuzzy ordinary differential equation and in- troduced ...
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Variational iteration method for solving nth-order fuzzy integro-differential equations
... M a tional iteration method (VIM), see [7, ny authors have been worked about varia- 8, 14, 9] for more details. VIM is an iterative method which used the Lagrange multipliers. Also several modifications of VIM can be ...
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Solving Two-Points Singular Boundary Value Problem Using Hermite Interpolation Heba A. Abd Al-Razak
... for ordinary differential equations (ODE) arise very frequently in several areas of science and ...[4], differential transform method [5], cubic trigonometric B-spline method[6], Adomian ...
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Numerical Solution of First Order Linear Differential Equations in Fuzzy Environment by Modified Runge-Kutta- Method and Runga- Kutta-Merson-Method under generalized H-differentiability and its Application in Industry
... of differential equation where the exact solution is critical to ...a linear or non-linear first order fuzzy differential equation is comes easily and the solution is very ...
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Asymptotic Estimates for Second Order Parameterized Singularly Perturbed Problem
... By a solution of (1), (2) we mean pair { u t ( ) , λ } ∈ C 1 [ ] 0, T × for which problem (1), (2) is satisfied. An overview of some existence and uniqueness results and applications of parameterized equations may be ...
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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
... Partial Differential Equation using Direct solution of second-order Ordinary Differential Equation ODE with two-step hybrid Block Method of Order seven ...its ...
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Solutions of type rm for a class of singular equations
... Equating this last expression to zero, we obtain an ordinary differential equation with constant coefficients and of order 2Qp.. equation for this equation is..[r] ...
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Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... partial differential equations, where the fractional derivative is defined in the sense of the modified Riemann-Liouville ...partial differential equation is converted into another ordinary ...
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A Numerical Solver for Second Order Stiff Ordinary Differential Equations
... This section presents the performance results of DVS-BBDF2. We discuss the performance of our method with order three BBDF2 method which has lower step size increment value from the proposed method. The per- ...
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On the stability of linear differential equations of second order
... [12] S. Jung, Hyers-Ulam stability of linear differential equations of first order, Appl. Math. Lett. 17 (2004) 1135–1140. [13] S. Jung, Approximation of analytic functions by Laguerre functions, ...
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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 ...
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