[PDF] Top 20 Power series method and approximate linear differential equations of second order
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Power series method and approximate linear differential equations of second order
... In the following theorem, we investigate a kind of Hyers-Ulam stability of the linear differential equation (). In other words, we answer the question whether there exists an exact solution near every ... See full document
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Introducing the Power Series Method to Numerically Approximate Contingent Claim Partial Differential Equations
... or strictly numerically for visualization and numerical analysis. This offers tre- mendous advantages over the traditional FDM approaches as it enables us to work with the actual solution of the PDE not only discrete ... See full document
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A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability
... numerical method for solving FDE under Hukuhara differentiability presented in [1, 2, 5], and under generalized dif- ferentiability investigated in [6, ...fuzzy differential equations with Hukuhura ... See full document
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A linearization method in oscillation theory of half linear second order differential equations
... has been found, see, for example, [1] and the references given therein. On the other hand, some natural differences were pointed out, mostly caused by the fact that the solution space of (1.1) has only one half of the ... See full document
11
A Fuzzy Power Series Method for Solving Fuzzy Differential Equations With Fractional Order
... fractional power series are generalized for the fuzzy frac- tional power series by using fuzzy Caputo deriva- ...fractional power series to solve the fractional ... See full document
8
On decreasing solutions of second order nearly linear differential equations
... condition resp. the super-linearity condition is assumed, i.e., γ < resp. γ > , and such conditions play an important role in the proofs. Notice that from this point of view, our equation () (which arises as a ... See full document
13
A New Numerical Method to Solve Non Linear Fractional Differential Equations
... new approximate analytical method, the homotopy perturbation and natural transform method namely HPNT is introduced that is blend of the homotopy perturbation method and natural transform ... See full document
6
Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations
... iteration method (VIM) to find approximate solutions of linear and nonlinear thir- teenth order differential equations in boundary value ...The method is based on boundary ... See full document
7
Numerical method and convergence order for second order impulsive differential equations
... differential equations with all kinds of bound- ary value is much more active in recent ...differential equations with inverse boundary ...differential equations with interface conditions based on ... See full document
14
Hyers ulam stability of exact second order linear differential equations
... The stability of functional equations was first introduced by Ulam [1]. Hyers [2] gave a partial solution of Ulam ’ s problem for the case of approximate additive mappings in the context of Banach spaces. ... See full document
7
Hyers Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order
... of second order y pxy qxy rx 0. That is, if f is an approximate solution of the equation y pxy qxy rx 0, then there exists an exact solution of the equation near to ... See full document
7
The sinc-Galerkin method and its applications on singular Dirichlet-type boundary value problems
... sinc-Galerkin method was introduced in ...collocation method was ...sinc-Galerkin method to an approximate solution of linear and nonlinear second-order ordinary ... See full document
14
On the stability of linear differential equations of second order
... The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation (1.2) in general case. More precisely, we prove that the equation y 00 (x)+αy 0 (x)+βy(x) = f (x) always ... See full document
6
Second kind shifted Chebyshev polynomials and power series method for solving multi-order non-linear fractional differential equations
... the second kind [25] and fractional power series method (FPSM) ([3], [8]) to solve the multi-order nonlinear fractional differential ...the second kind are used to reduce ... See full document
10
On Approximate Solutions of Second Order Linear Partial Differential Equations
... matrix method applied in this study is useful in finding approximate solutions of second-order linear partial differential equations in both homogeneous and ... See full document
7
Approximate perfect differential equations of second order
... 2. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 3. Rassias, TM: On the stability of linear mapping in Banach spaces. Proc. Am. Math. Soc. 72, ... See full document
5
An efficient computer application of the sinc-Galerkin approximation for nonlinear boundary value problems
... Galerkin method is introduced in ...collocation method is ...sinc-Galerkin method to the approximate solution of linear and nonlinear second-order ordinary differential ... See full document
17
Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method
... transformation method is used to find the solution of the higher order differential ...The approximate solution of the problem is calculated in the form of a rapid convergent ...the ... See full document
5
Solving the Systems of Differential Equations by a Power Series Method
... article power series method, as well-known method for solving ordinary differential equations, has been employed to solve linear systems of first order ... See full document
5
Second Derivative Free Eighteenth Order Convergent Method for Solving Non-Linear Equations
... Eighteenth Order Convergent Method (EOCM) developed by Vatti ...this method is further studied without the presence of second ...this method has same efficiency index as that of ... See full document
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