Linear and Nonlinear Equations
Programming First Integral Method General Formula for the Solving Linear and Nonlinear Equations
... It’s well known that the solution of equations always uses complicated methods. In this paper the first integral method is used to find the actual solution of equations in a simple way, rather than the ...
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Combine aboodh transform and homotopy perturbation method for solving linear and nonlinear schrodinger equations
... solving linear and non-linear Schrödinger equations with initial ...of linear and nonlinear ...solve linear and nonlinear Schrodinger ...
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Solving linear and nonlinear Abel fuzzy integral equations by homotopy analysis method
... handling nonlinear equations [8–11]. Abel integral equations occur in many branches of scientific fields, such as microscopy, seismology, radio astronomy, electron emission, atomic scattering, radar ...
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Nonlinear equations: The secant method
... Use two samples to guess where a function crosses the x axis Rootfinding (Secant version) Given a function f (x) and two estimates for the root, use a linear model to predict a better root. The bisection and ...
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6.2 Solving Nonlinear Equations
... term, nonlinear equation. In this chapter we will learn how to solve nonlinear equations involving ...a linear and a nonlinear ...
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Linear and nonlinear convolution elliptic equations
... Full list of author information is available at the end of the article Abstract In this paper, the separability properties of elliptic convolution operator equations are investigated. It is obtained that the ...
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The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... differential equations, and observed that solutions could not satisfy the corresponding ...differential equations cannot be converted into fractional order differential equations so ...
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Piecewise linear approximation of nonlinear ordinary differential equations
... This enables us to replace a nonlinear ode with a finite set of linear inhomogeneous odes for which analytic solutions are possible. We apply this method to the cooling of a body under the combined effects ...
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Global attractors for nonlinear wave equations with linear dissipative terms
... is bounded and u is subjected to suitable boundary conditions, the general result is that the dynamical system associated with the problem possesses a global attractor in the nat- ural energy space H () × L () if ...
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Numerical Approximate Methods for Solving Linear and Nonlinear Integral Equations
... In this chapter, the numerical solutions of nonlinear Hammerstein integral equations arising in chemical phenomenon have been discussed. Firstly, we have solved an integral equation which forms the basis ...
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Stability Properties of Linear Volterra Integrodifferential Equations with Nonlinear Perturbation
... Moreover, h(t) is continuous for all t ≥ 0 and C : R → R is continuous. We study the stability properties of the zero solution of either (1.1) or (1.2) and we construct suitable Lyapunov functionals in the analysis. We ...
Linear and nonlinear abstract elliptic equations with VMO coefficients and applications
... of a strong solution of the boundary value problem for a nonlinear equation is established. In application, the maximal regularity properties of the anisotropic elliptic equation and the system of equations ...
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Solution of Nonlinear Advection Diffusion Equations via Linear Fractional Map Type Nonlinear QCA
... numerically. Linear advection equation or Time Dependent Schrödinger Equation (TDSE) is obtained from the continuum limit of linear ...that nonlinear advection-diffusion equations including ...
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A Numerical Approach for Solving Linear and Nonlinear Volterra Integral Equations with Controlled Error
... solving linear and nonlinear Volterra integral equations (LVIE, NVIE) of the first and the second ...a nonlinear programming problem and in some cases a linear programming ...
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Oscillation of second order nonlinear difference equations with super-linear neutral term
... Equation (1.1) is said to be oscillatory if all its solutions are oscillatory. Recently, there has been a lot of interest in studying the oscillatory and asymptotic behavior of solutions of various classes of second ...
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Linear Equations in Linear Algebra
... 1.10 LINEAR MODELS IN BUSINESS, SCIENCE, AND ENGINEERING The mathematical models in this section are all linear; that is, each describes a prob- lem by means of a linear equation, usually in vector ...
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On Solvability of the Nonlinear Optimal Control Problem for Processes Described by the Semi-linear Parabolic Equations
... parabolic equations when the source function nonlinearly depends on the controlling parameters, and nonlinear integral criterion of quality is ...structure nonlinear integral equation with additional ...
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On the Regularization-Homotopy Analysis Method for Linear and Nonlinear Fredholm Integral Equations of the First Kind
... integral equations of the first kind are considered by applying regularization method and the homotopy analysis ...integral equations are considered as an ill-posed problem and for this reason needs an ...
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SOLVING LINEAR AND NONLINEAR KLEIN-GORDON EQUATIONS BY NEW PERTURBATION ITERATION TRANSFORM METHOD
... Abstract. We present an effective algorithm to solve the Linear and Nonlinear Klein- Gordon equation, which is based on the Perturbation Iteration Transform Method (PITM). The Klein-Gordon equation is the ...
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Multistage Shifted JACOBI Spectral Method for solving linear & nonlinear Fractional Differential Equations
... the linear and nonlin- ear fractional problems. For linear initial fractional problems, the Shifted Jacobi Tau (SJT) method are employed to obtain accurate ...
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