Showing papers in "Journal of Computational and Applied Mathematics in 2022"

TL;DR: In this article , a generalization of the regularized Ψ-Hilfer fractional derivative, called as regularized ǫ-hilfer derivative, is presented and the existence and uniqueness of its solution is analyzed.

TL;DR: In this paper , a generalization of the regularized Ψ-Hilfer fractional derivative, called as regularized ǫ-hilfer derivative, is presented and the existence and uniqueness of its solution is analyzed.

TL;DR: In this article , the authors investigated the critical normal form coefficients for the one-parameter and twoparameter bifurcations of a discrete-time Bazykin-Berezovskaya prey-predator model.

TL;DR: In this article , the authors considered a class of fractional order Volterra integro-differential equations of first kind where the fractional derivative is considered in the Caputo sense.

TL;DR: In this paper , the stochastic form of the Newell-Whitehead-Segel equation has been investigated and two numerical schemes for the solution of the underlying problem have been proposed.

TL;DR: In this paper , an optimal order uniformly accurate boundary layer adaptive method moving mesh method is proposed, which is able to capture the layer phenomena without using a priori information of the solution.

TL;DR: In this article , the authors investigated the approximate controllability of fractional integrodifferential inclusions of order r∈(1,2) in Banach space with sectorial operators.

TL;DR: In this article , the authors investigated the approximate controllability of fractional integrodifferential inclusions of order r∈(1,2) in Banach space with sectorial operators.

TL;DR: In this paper , a generalization of deep neural networks for solving PDEs is proposed, which balances the relative importance of the different constraints imposed by partial differential equations and is shown to significantly enhance accuracy.

TL;DR: In this article , a well-organized and novel algorithm for solving time-fractional Fornberg-Whitham, Klein-Gordon equation and biological population models occurring from physics and engineering is presented.

TL;DR: In this paper , a novel iteration scheme based on the multigrid idea and homotopy method was developed for solving the numerical identification of the piecewise constant permeability function for a nonlinear diffusion equation within the two-phase porous media flow.

TL;DR: It is proved that the proposed schemes, which combine a linearly stabilized splitting scheme, are unconditionally energy-stable and satisfy the mass conservation.

TL;DR: In this paper, the numerical solution of a time fractional partial integro-differential equation of Volterra type, where the time derivative is defined in Caputo sense, is studied.

TL;DR: In this article , a numerical model of the Nipah virus (NiV) was brought into focus for tracing the fractional order derivative's influence on the manner in which the model responds.

TL;DR: In this article , a first and second-order unconditionally stable direct discretization method based on a surface mesh consisting of piecewise triangles and its dual-surface polygonal tessellation for solving the N-component Cahn-Hilliard system was proposed.

TL;DR: In this article , the numerical solution of a time fractional partial integro-differential equation of Volterra type, where the time derivative is defined in Caputo sense, is studied.

TL;DR: In this article , the predictive estimation approach for estimating the population mean using modified difference and ratio type predictive estimators in ranked set sampling is introduced, and the expressions of bias and mean square error of the proffered predictive estimation estimators are reported to the first order of approximation.

TL;DR: In this article, an alternating direction implicit (ADI) Legendre-Laguerre spectral scheme is proposed for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain.

TL;DR: This work introduces a homotopy method based on the Theory of Functional Connections (TFC), which implicitly defines infinitehomotopy paths, from which the most promising ones are selected.

TL;DR: In this paper , a newly-formulated epidemiological model involving a recently composed operator from the fractal-fractional Caputo category with the fractional order and fractal dimension was introduced, which is one of the prime illnesses to bring about long-term hepatitis, cirrhosis and hepatocellular carcinoma.

TL;DR: In this paper , an alternating direction implicit (ADI) Legendre-Laguerre spectral scheme is proposed for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain.

TL;DR: In this paper , a two-layer continuation algorithm is devised, where the first layer tracks the homotopy path by monotonously varying the continuation parameter, while the second layer recovers possible failures resorting to a TFC representation of the homoopy function.

TL;DR: In this article , an efficient scheme is presented to validate the numerical results and solve the second kind integral equations (IEs) using homotopy perturbation method (HPM) and stochastic arithmetic.

TL;DR: In this paper , the convergence rates of the iteratively regularized Gauss-Newton method were derived by defining the iterates via convex optimization problems in a Banach space setting.

TL;DR: In this article, the convergence rates of the iteratively regularized Gauss-Newton method were derived by defining the iterates via convex optimization problems in a Banach space setting.

TL;DR: In this paper , an efficient approach to solve quadratic and nonlinear programming problems subject to linear equality constraints via the theory of functional connections is introduced, which is done without using the traditional Lagrange multiplier technique.

TL;DR: In this article , the stability of a two-level coupled explicit MacCormack/Crank-Nicolson method for solving the nonstationary mixed Stokes-Darcy model is analyzed.

TL;DR: In this article , the authors propose new approaches for the accurate approximation of the Hamiltonian function of constrained mechanical systems given sample data information of their solutions, focusing on the importance of the preservation of the constraints in the learning strategy by using both explicit Lie group integrators and other classical schemes.

TL;DR: In this paper , a two-mode Fisher-Burgers equation was proposed and the modified exponential-expansion algorithm and the extended tanh-coth scheme were used to acquire explicit solutions that will be investigated graphically.

TL;DR: In this paper, a two-mode Fisher-Burgers model was proposed and the modified exponential-expansion algorithm and the extended tanh-coth scheme were used to acquire explicit solutions that will be investigated graphically.