Exact and Approximate Solutions
Exact and approximate solutions for the fractional Schrödinger equation with variable coefficients
... finding exact and approximate solutions of the GFNLS equation with the Caputo ...finding exact and approximate solutions in mathematical ...
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Exact and Explicit Approximate Solutions to the Multi-Order Fractional Burgers-Poisson and Fractional Burgers-Poisson Equations
... two approximate techniques viz HPM and ADM, exact and explicit approximate solutions to the MFBP, fBP and BP equations were obtained in this ...employed approximate techniques give ...
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On the exact and the approximate solutions of second-order fuzzy initial value problems with constant coefficients
... the exact and the approximate solutions of second-order fuzzy linear initial value problems with positive and negative constant coeffients are ...The exact solutions are found by using ...
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The Exact and Approximate Solutions of Some Boundary Value Problems in Domains with Angular Points of the Boundary
... From the analysis of exact solutions the deep understanding of both mathematical and physical problem essence can be very fruitful in creating the effective numerical or approximate meth[r] ...
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Exact and approximate solutions of fractional partial differential equations for water movement in soils
... In this paper the water movement in soils of finite depths is investigated by presenting analytical solutions of the fractional partial differential equation (fPDE) of water movement. The fPDE discussed in this ...
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Exact and approximate solutions to the pressure loaded plate strip with temperature distribution
... Tha8Bo by David Idax Wadswor th Lieindqaiert Lieutamat C ~IBsne'fi U8dted States A i r Force %a FBairtitaf FuUillLars en$ of the W eqeaisen~ants For the Belgree of Aeronautical Engineer California Ins[.] ...
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Mean Square Solutions of Second Order Random Differential Equations by Using the Differential Transformation Method
... obtain exact and approximate solutions of linear and nonlinear differential equations, such as adomian decomposition method (ADM) [12], variational iteration method (VIM) [13] and homotopy perturba- ...
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Differential transformation method for solving a neutral functional-differential equation with proportional delays
... In this paper, we used the Differential Transformation Method (DTM) for finding the exact and approximate solutions of neutral functional-differential equations with proportional delays. DTM can be ...
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Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
... In order to prove that Wx,t defined by 2.15,2.17,2.18, is a solution of the problem 2.10,2.12, we are going to show that under which conditions such series Wx,t defines a continuous vect[r] ...
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On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces
... In [8], Iusem and Sosa presented some iterative algorithms for solving equilibrium problems in finite-dimensional spaces. They have also established the convergence of the algorithms In [19], Chen and Wu introduced an ...
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ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION
... the exact and the approximate solutions of fuzzy fractional differential equation, in the sense of Caputo Hukuhara differentiability, with a fuzzy condition are constructed by using the fuzzy Laplace ...
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A discrete orthogonal polynomials approach for fractional optimal control problems with time delay
... the approximate state and control functions x(t) and u(t) for various values of ν and N = ...the approximate solutions converge to the exact solution as fractional order ν approaches integer ...
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Curve Veering in Torsional Systems with Stepped Shafts
... Different approximate techniques including the Rayleigh-Ritz, finite element and discretization methods, along with the exact solution were employed to extract natural frequencies of the ...of ...
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Solutions of the nonlinear diffusion equation : existence, uniqueness, and estimation
... V TABLE OF CONTENTS STATEMENT ii ACKNOWLEDGEMENTS iii iv ABSTRACT INTRODUCTION CHAPTER 1 1.0 The equations to be solved 1 1.1 Exact solutions 4 1.2 Approximate solutions 5 EXISTENCE, UNI[r] ...
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Satisfying positivity requirement in the Beyond Complex Langevin approach
... find solutions for Gaussian and quartic ...known, exact solution is observed with the methods proposed in this ...actions, approximate solutions are found and classified according to their ...
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Comparison of Analytical and Numerical Solutions of Fractional-Order Bloch Equations using Reliable Methods
... have exact solutions, and hence approximate analytic solutions and numerical solutions are usually ...obtaining approximate analytic solutions of FDEs include the ...
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Adaptive sampling in digital control
... control equations require the prediction of approximate solutions for the output states of N/M and Da and of exact solution of the output state, 6Ts, in terms of the input current to the[r] ...
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Indistinguishability Obfuscation: from Approximate to Exact
... the exact correctness of the PKE and NIZK play an important role in the security proof in [GGH + ...obtain exact NIZK and PKE directly from approximate ...
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A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics
... finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modi- fied Riemann-Liouville ...new exact solutions including solitary wave solutions and ...
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On exact and approximate interpolation of sparse rational functions
... our approximate algorithm and some remaining issues in Section ...Our approximate algorithm is related to numeric multivariate rational inter- polation (see, ...multiple solutions, but recovers a ...
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