IMPLEMENTASI METODE ANALITYCAL HIERARCHY PROCESS (AHP) DAN TOPSIS UNTUK PEMILIHAN KAMERA

In today’s techonologically sophisticated ,camera are an unusual item number one amoung the millennial. Camera are the property of every millennial now, The camera mirrolless is itself used to take video and picture at an excellent resolution and the result will be presented by social media user. The user have option to consider according fit the requirement. The study is conducted to recommend prospective buyer in camera selection with a consideration of photographic ,sutter speed, video resolution, sensitivity and battery resistance. Web-based decision-making system using PHP and MySQL database, by using AHP method and TOPSIS. The AHP is an analytic method for solving flexible quantitative and qualitative. AHP has an advantage on the scale of the measurement given to the structure of the hierarchy, but the AHP method has a boundary in the number of comparison used that requires a TOPSIS method, then the approach of TOPSIS has a simple but regular and logical method of steps that form a system. The result of this camera study which is recommended from the approach, alternative selection has an indirect distance from the desired distance.

Cauchy problem for an ordinary fractional differential equation with variable delay

For a fractional differential equation with variable delay, a solution to the initial problem is obtained by the method of steps. The existence and uniqueness theorem of the solution is proved.

Dependence of Dynamics of a System of Two Coupled Generators with Delayed Feedback on the Sign of Coupling

In this paper, we study the nonlocal dynamics of a system of delay differential equations with large parameters. This system simulates coupled generators with delayed feedback. Using the method of steps, we construct asymptotics of solutions. By these asymptotics, we construct a special finite-dimensional map. This map helps us to determine the structure of solutions. We study the dependence of solutions on the coupling parameter and show that the dynamics of the system is significantly different in the case of positive coupling and in the case of negative coupling.

Lp-Solution to the Random Linear Delay Differential Equation with a Stochastic Forcing Term

This paper aims at extending a previous contribution dealing with the random autonomous-homogeneous linear differential equation with discrete delay τ > 0 , by adding a random forcing term f ( t ) that varies with time: x ′ ( t ) = a x ( t ) + b x ( t − τ ) + f ( t ) , t ≥ 0 , with initial condition x ( t ) = g ( t ) , − τ ≤ t ≤ 0 . The coefficients a and b are assumed to be random variables, while the forcing term f ( t ) and the initial condition g ( t ) are stochastic processes on their respective time domains. The equation is regarded in the Lebesgue space L p of random variables with finite p-th moment. The deterministic solution constructed with the method of steps and the method of variation of constants, which involves the delayed exponential function, is proved to be an L p -solution, under certain assumptions on the random data. This proof requires the extension of the deterministic Leibniz’s integral rule for differentiation to the random scenario. Finally, we also prove that, when the delay τ tends to 0, the random delay equation tends in L p to a random equation with no delay. Numerical experiments illustrate how our methodology permits determining the main statistics of the solution process, thereby allowing for uncertainty quantification.

Eksistensi dan Ketunggalan Solusi Persamaan Diferensial Linier Advance-Delay Homogen

Pada tulisan ini akan dikonstruksi solusi persamaan diferensial linier advancedelay homogen. Selanjutnya, dengan menggunakan metode langkah (method of steps) dapat ditunjukkan bahwa suatu fungsi awal dengan syarat tertentu menjamin eksistensi dan ketunggalan solusinya. Tulisan ini mengeksplorasi kembali studi yang dilakukan oleh Ford dan Lumb (J. Compt. App. Math. 229, 2007).Kata Kunci: Differential Equations, Initial Value Problem, heaviside

Generalized fractional order Chebyshev wavelets for solving nonlinear fractional delay-type equations

In this paper, we develop the generalized fractional order Chebyshev wavelets (GFCWs) from generalized fractional order of Chebyshev polynomials. The operational matrices for the presented wavelets are constructed and derived. We also proposed a technique by utilizing the GFCWs, the method of steps and quasilinearization technique for solving nonlinear fractional delay-type differential equations. According to the development, the method of step is used to transform the fractional nonlinear delay-type differential equation to a fractional nonlinear non-delay differential equation, and then apply the quasilinearization technique to discretize the obtained nonlinear equation. The GFCW method is utilized in each iteration of quasilinearization method for the improvement of solution. We perform the error analysis for the proposed technique. Procedure of implementation for the present method is also provided. Numerical simulation of some examples will be presented to demonstrate the benefits of computing with the present technique over existing methods in literature.

Discontinuity Propagation in Delay Differential-Algebraic Equations

The propagation of primary discontinuities in initial value problems for linear delay differential-algebraic equations (DDAEs) is discussed. Based on the (quasi-) Weierstra{\ss} form for regular matrix pencils, a complete characterization of the different propagation types is given and algebraic criteria in terms of the matrices are developed. The analysis, which is based on the method of steps, takes into account all possible inhomogeneities and history functions and thus serves as a worst-case scenario. Moreover, it reveals possible hidden delays in the DDAE and allows to study exponential stability of the DDAE based on the spectral abscissa. The new classification for DDAEs is compared to existing approaches in the literature and the impact of splicing conditions on the classification is studied.

Design and Research of Tower Foundation in Sandy Slope Terrain

This article relies on 66kV transmission line new construction design of Chifeng JingHua in the Inner Mongolian area, this paper discusses about the program of tower foundation in sandy slope terrain. Based on the original design method of steps foundation design, this paper provides a set of feasible design method, at the same time, by comparing with the design of the bored pile foundation, draw pile is more suitable for this project conclusion.

Hermite Wavelet Method for Fractional Delay Differential Equations

We proposed a method by utilizing method of steps and Hermite wavelet method, for solving the fractional delay differential equations. This technique first converts the fractional delay differential equation to a fractional nondelay differential equation and then applies the Hermite wavelet method on the obtained fractional nondelay differential equation to find the solution. Several numerical examples are solved to show the applicability of the proposed method.