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Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels
The aim of this paper is to implement the high-order local discontinuous Galerkin method (LDGM) for solving partial integro-differential equations...
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Two inertial hybrid projection algorithms for solving a class of split common solution problems
In this paper, we introduce two new inertial hybrid projection algorithms for solving the split common solution problem with multiple output sets. We...
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Approximation of bivariate Lipschitz continuous functions by hidden variable fractal functions
The crux of the present paper is approximation of bivariate Lipschitz continuous functions by hidden variable fractal functions. We propose the...
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Artificial Intelligence enabled cognitive computer-centered digital analysis model for examination of the children’s mental health
Mental health plays an important role for how a person act, think and feel. Specially in the case of students it’s become very crucial and they...
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Investigations on uniqueness of meromorphic functions in the k-punctured complex plane
In this paper, we have exhaustively studied the uniqueness of meromorphic function sharing five small functions in k -punctured complex plane, under...
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Remarks on control and inverse problems for PDEs
This paper deals with recent results and open questions on the control and parameter identification of systems governed by PDEs. Among them, we find...
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Robust numerical scheme for 2D fractional integro-differential equations of Volterra type
This article provides a numerical study of two-dimensional Volterra integro-differential equations involving fractional derivatives in the Caputo...
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Numerical simulation of high-frequency induction welding in longitudinal welded tubes
In the present paper the high-frequency induction welding process is studied numerically. The mathematical model comprises a harmonic vector...
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Epidemic modelling by birth-death processes with spatial scaling
In epidemic modeling, interpretation of compartment quantities, such as s , i , and r in relevant equations, is not always straightforward. Ambiguities...
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Super implicit two-step collocation methods for ordinary differential equations
This paper introduces a class of two-step collocation methods for the numerical solution of ordinary differential equations. These methods which are...