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Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via collocation method based on radial basis functions
A numerical technique based on the spectral method is presented for the solution of
nonlinear Volterra–Fredholm–Hammerstein integral equations. This method is a …
nonlinear Volterra–Fredholm–Hammerstein integral equations. This method is a …
On a generalized Gaussian radial basis function: Analysis and applications
We introduce a new infinitely smooth generalized Gaussian radial basis function (GGRBF)
involving two shape parameters: ψ (r; ϵ; ϵ 0)= φ (r; ϵ) exp (φ (r; ϵ 0)− 1), where φ (r; ϵ) is …
involving two shape parameters: ψ (r; ϵ; ϵ 0)= φ (r; ϵ) exp (φ (r; ϵ 0)− 1), where φ (r; ϵ) is …
[HTML][HTML] Parallel LS-SVM for the numerical simulation of fractional Volterra's population model
In this paper, we develop a least-squares support vector machine (LS-SVM) for solving a
nonlinear fractional-order Volterra's population model in a closed system. The fractional …
nonlinear fractional-order Volterra's population model in a closed system. The fractional …
An RBF collocation method for solving optimal control problems
A direct solution to optimal control problems is introduced based on interpolating global
radial basis functions (RBFs) on arbitrary collocation points. In the proposed approach …
radial basis functions (RBFs) on arbitrary collocation points. In the proposed approach …
Radial basis functions methods for solving Fokker–Planck equation
In this paper two numerical meshless methods for solving the Fokker–Planck equation are
considered. Two methods based on radial basis functions to approximate the solution of …
considered. Two methods based on radial basis functions to approximate the solution of …
[HTML][HTML] Application of Bessel functions for solving differential and integro-differential equations of the fractional order
In this paper, a new numerical algorithm to solve the linear and nonlinear fractional
differential equations (FDE) is introduced. Fractional calculus and fractional differential …
differential equations (FDE) is introduced. Fractional calculus and fractional differential …
Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions
Volterra's model for population growth in a closed system includes an integral term to
indicate accumulated toxicity in addition to the usual terms of the logistic equation, that …
indicate accumulated toxicity in addition to the usual terms of the logistic equation, that …
Numerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis function
In this paper, we propose compactly supported radial basis functions for solving some well-
known classes of astrophysics problems categorized as non-linear singular initial ordinary …
known classes of astrophysics problems categorized as non-linear singular initial ordinary …
[HTML][HTML] Decomposition–Linearization–Sequential Homotopy Methods for Nonlinear Differential/Integral Equations
In the paper, two new analytic methods using the decomposition and linearization technique
on nonlinear differential/integral equations are developed, namely, the decomposition …
on nonlinear differential/integral equations are developed, namely, the decomposition …
Solving integral equations by ls-svr
The other important type of problem in science and engineering is integral equations. Thus,
develo** precise numerical algorithms for approximating the solution to these problems is …
develo** precise numerical algorithms for approximating the solution to these problems is …