Numerical approach to solving the diffusion equations
A Numerical Approach for Solving Linear and Nonlinear Volterra Integral Equations with Controlled Error
... new numerical approach for solving the above equation, both linear and nonlinear by discretisation and using an interpolation method to find a formula for solution of such integral ...
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A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations
... new approach as a recommendation whose numerical approximation result could be coincides with some existing method of solution of different initial value problems of ordinary differential ...new ...
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Numerical Solution for Solving Space-Fractional Diffusion Equations using Half-sweep Gauss-seidel Iterative Method
... for solving space-fractional diffusion equations is ...Through numerical solution Tables 1 and 2, it clearly shows that implementations of Half-Sweep Gauss-Seidel iterative concept reduce ...
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Generalized Fourier Transform Method for Solving Nonlinear Anomalous Diffusion Equations
... normal diffusion described by the Gaussian distribution can be obtained from the usual Fokker-Planck equation with a constant diffu- How to cite this paper: Yao, ...for Solving Nonlinear Anomalous ...
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A Cell-centered Scheme for Solving Anisotropic Diffusion Equations on Skewed Meshes
... for Solving Anisotropic Diffusion Equations on Skewed Meshes Lina Chang Abstract—An algorithm is developed to interpolate node unknowns from cell-centered ones for the construction of dif- fusion ...
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Research Article Comparing Numerical Methods for Solving Time-Fractional Reaction-Diffusion Equations
... differential equations have recently become increas- ingly important topics in the literature of engineering, science, and applied ...Reaction-diffusion equations are commonly used to model the growth and ...
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Numerical Approach for Solving Stiff Differential Equations Through the Extended Trapezoidal Rule Formulae
... Vol. 2, No. 4, 2017, pp. 103-116. doi: 10.11648/j.ajmcm.20170204.13 Received: September 18, 2017; Accepted: October 9, 2017; Published: November 8, 2017 Abstract: The most popular methods for the solution of stiff ...
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A numerical approach for solving the high order nonlinear singular Emden–Fowler type equations
... of equations, so it can solve powerfully linear singular initial value ...type equations are investigated by RKHSM. Then we present five numerical examples to show that the proposed scheme is accurate ...
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An efficient numerical approach for solving systems of high-order linear Volterra integral equations
... Abstract. In this study, a collocation method based on the Bernoulli polynomials is presented to nd approximate solutions of a system of high-order linear Volterra Integral Equations (VIEs) with variable ...
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A Fully Conservative Parallel Numerical Algorithm with Adaptive Spatial Grid for Solving Nonlinear Diffusion Equations in Image Processing
... for solving nonlinear parabolic equations, which satisfies both fully conservative property and second order of approximation on non-uniform spatial grid according to geometrical sanity of a ...
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A numerical approach for solving boundary value problems for fractional differential equations using Shannon wavelet
... Abstract. In this paper, Shannon Wavelet Method (SWM) is proposed to approximate solutions for boundary value problems for fractional order differential equations. Shannon wavelets operational matrices of ...
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Numerical approach for solving nonlinear stochastic Ito-Volterra integral equations using Fibonacci operational matrices
... for solving nonlinear stochastic It^o-Volterra integral ...nonlinear equations which can be solved by Newton's ...new approach is applied to some practical ...
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Numerical Approach for Solving Fractional Pantograph Equation
... Turkey ABSTRACT In this article, we have investigate a Taylor collocation method, which is based on collocation method for solving fractional pantograph equation. This method is based on first taking the truncated ...
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Combined Compact Difference Scheme for Solving Unsteady Convection Diffusion Equations
... the diffusion term, we construct a boundary scheme that matches the interior point and obtain a stable combination semi-discrete compact scheme which is discretized by the third-order Runge-Kutta method in the ...
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Second order numerical methods for the tempered fractional diffusion equations
... second-order numerical methods is presented for solving the space tempered fractional diffusion equations, where the space tempered fractional derivatives are evaluated by the proposed tempered ...
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Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries
... efficient numerical methods are proposed to solve the diffusive logistic model with a free boundary when the system is severely ...requires solving a large global system of nonlinear equations for ...
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Numerical Methods for Solving Space Fractional Partial Differential Equations Using Hadamard Finite-Part Integral Approach
... 24. Liu, F., Chen, S., Turner, I., Burrage, K., Anh, V.: Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term. Cent. Eur. J. Phys. 11, ...
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Numerical Methods for Solving Systems of Nonlinear Equations
... that numerical methods are a vital strand of math- ...only solving nonlinear algebraic equations with one variable, but also systems of nonlinear algebraic ...Even equations or systems of ...
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Numerical Methods for Solving Fractional Differential Equations
... for solving FDEs has several problems with some fractional ...of equations with small fractional orders compared to the original ...Several numerical examples are demonstrated to show the ...
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A NUMERICAL METHOD FOR SOLVING LINEAR INTEGRAL EQUATIONS
... Integral equations find special applicability within scientific and mathematical ...in solving linear integral equations is ...the numerical method, it is applied to solve different test ...
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