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system of partial differential equations

Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations

Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations

... difference equations are solved using the Gauss–Seidel iteration method and that of nonlinear difference equations by the Newton–Raphson iteration method [36, ...

36

On a System of Linear Singular Partial Differential  Equations with Weight Functions

On a System of Linear Singular Partial Differential Equations with Weight Functions

... of partial differential equations have been a very fruitful endeavor both in pure and applied ...uses partial differential equations to model real-world ...

18

Mathematical Description of the Flows near the Bottom of the Ocean

Mathematical Description of the Flows near the Bottom of the Ocean

... Abstract—We construct an explicit solution for a boundary value problem for a system of partial differential equations which describes small linearized motions of three-dimensional stratified ...

5

Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics

Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics

... DQM, partial differential equations turn to nonlinear algebraic equations ...this system can be solved using several numerical ...

10

Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations

Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations

... where F v w G v w H v w I v w J v w n ( , , ) n ( , , ) n ( , , ) ( n , , ) ( n , ) and K v w n ( , ) are Adomian polynomials they represent nonlinearities arising in above system [Equation (4.26), Equation (4.27) ...

11

Characteristics Collocation Method of  Compressible Miscible Displacement with Dispersion

Characteristics Collocation Method of Compressible Miscible Displacement with Dispersion

... coupling system for partial differential equations of two different types, and we consider the system with dispersion in non-periodic space, so these factors lead to many difficulties ...

6

A Neuro-Finite Element Analysis of Partial Differential Equations of Solid Mechanics

A Neuro-Finite Element Analysis of Partial Differential Equations of Solid Mechanics

... to Partial Differential Equations ...governing equations that the field variable must satisfy for equilibrium and compatibility conditions of solid or str uctural ...of partial ...

6

Function theory for a beltrami algebra

Function theory for a beltrami algebra

... analytic functions by means of systems of first order partial differential equations goes back at least to a paper of Picard in 1891 [I]... The solutions of that system.[r] ...

10

Quasilinear Stochastic Partial Differential Equations

Quasilinear Stochastic Partial Differential Equations

... Quasilinear stochastic PDE’s occur in applications such as the stochastic Navier-Stokes equation for which there is a complete answer to existence and uniqueness of solutions. This is contrary to the deterministic case. ...

88

Linear Partial Differential Equations and Fourier Theory - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

Linear Partial Differential Equations and Fourier Theory - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

... One slightly unusual feature of this book is that, from the very beginnning, it emphasizes the central role of eigenfunctions (of the Laplacian) in the solu- tion methods for linear PDEs. Fourier series and ...

619

Absolute continuity in partial differential equations

Absolute continuity in partial differential equations

... P roof . From [10] we know that the system (10) has a strong solution u ∈ W 1,∞ (D). Replacing u by | u | ∈ W 1,∞ (D) if necessary, taking into account that | ∇ ( | u | ) | = | ∇ u | , we can assume u is ...

9

Partially integrable nonlinear equations with one higher symmetry

Partially integrable nonlinear equations with one higher symmetry

... a partial differential equation or a system of differential equations has one nontrivial symmetry, then it has infinitely many” ...evolutionary equations, which right hand side ...

5

Numerical investigation of three dimensional viscous, incompressible flow about a sphere and an ellipsoid

Numerical investigation of three dimensional viscous, incompressible flow about a sphere and an ellipsoid

... differential difference in this system coordinate system Once the case curvilinear coordinate system Navier-Stokes equations by transforming of is generated, any partial interest may be [r] ...

191

Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation

Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation

... 2013 Elliptic Partial Differential Equations Existence and Regularity of Distributional Solutions.. Linear and Semilinear Elliptic Equations.[r] ...

8

A MODIFICATION OF ARTIFICIAL BEE COLONY ALGORITHM FOR SOLVING INITIAL VALUE PROBLEMS

A MODIFICATION OF ARTIFICIAL BEE COLONY ALGORITHM FOR SOLVING INITIAL VALUE PROBLEMS

... In our study, we generate a new bee population around the best solution ever found using Eq. 6 in each iteration. It applies exploitation by making a pressure to obtain better solution rather than the best found so far. ...

12

A mathematical model of venous neointimal hyperplasia formation

A mathematical model of venous neointimal hyperplasia formation

... The process of VNH formation is complex, involving a number of growth factors, different types of cells, ECM, oxidative stress, and fluid flow. Figure 1 illustrates the main interactions among these players. These ...

9

Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform

Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform

... The fractional Fourier transforms (FrFT) is a generalization of Fourier transforms which was introduced in the field of mathematics many years ago. (Namias, 1980) The idea of FrFT is to provide analytical solution to the ...

16

Solution of partial differential equations and convolution equations by distributions

Solution of partial differential equations and convolution equations by distributions

... Proposition 1.1.34: topology of it every E,E' If is a dual pair and ; - equicontinuous subset of bounded and every absolutely convex E' ; is any is strongly aE',E - compact set is strong[r] ...

159

Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation

Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation

... nonlinear partial differential equation to algebraic equations, as a result of various steps, which on solving the so obtained equation systems yields the analytical ...

12

Online Full Text

Online Full Text

... uzzy differential equations (FDEs) are a significant part of the fuzzy analytic theory, and a valuable instrument to describe a dynamical phenomenon when the information about it is vague and its nature is ...

7

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