| Publication | Date of Publication | Type |
|---|
| From Continuous Time Random Walk Models to Human Decision-Making Modelling | 2024-01-12 | Paper |
| A Novel Method to Solve Nonlinear Klein-Gordon Equation Arising in Quantum Field Theory Based on Bessel Functions and Jacobian Free Newton-Krylov Sub-Space Methods | 2023-05-10 | Paper |
| Hyperparameter optimization of orthogonal functions in the numerical solution of differential equations | 2023-04-27 | Paper |
| Neuro-cognitive models of single-trial EEG measures describe latent effects of spatial attention during perceptual decision making | 2023-01-05 | Paper |
| JDNN: Jacobi Deep Neural Network for Solving Telegraph Equation | 2022-12-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5052573 | 2022-11-24 | Paper |
| Fractional Chebyshev deep neural network (FCDNN) for solving differential models | 2022-09-02 | Paper |
| Numerical learning approximation of time-fractional sub diffusion model on a semi-infinite domain | 2022-04-21 | Paper |
| Anti-aliasing of gray-scale/color/outline images: looking through the lens of numerical approaches for PDE-based models | 2022-04-07 | Paper |
| Efficient image denoising technique using the meshless method: investigation of operator splitting RBF collocation method for two anisotropic diffusion-based PDEs | 2022-04-07 | Paper |
| Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: a numerical simulation approach | 2021-11-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5158019 | 2021-10-20 | Paper |
| A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations | 2021-09-27 | Paper |
| Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations | 2021-06-27 | Paper |
| An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition | 2020-10-21 | Paper |
| Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: application to epileptic seizures | 2020-10-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5120388 | 2020-09-10 | Paper |
| Simulation of nonlinear fractional dynamics arising in the modeling of cognitive decision making using a new fractional neural network | 2020-08-19 | Paper |
| A comparison of Newton-Raphson method with Newton-Krylov generalized minimal residual (GMRes) method for solving one and two dimensional nonlinear Fredholm integral equations | 2020-02-28 | Paper |
| Chebyshev wavelet method for solving radiative transfer equation in a slab medium | 2020-02-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5206978 | 2019-12-19 | Paper |
| Imposing various boundary conditions on positive definite kernels | 2019-12-13 | Paper |
| A comparison between pre-Newton and post-Newton approaches for solving a physical singular second-order boundary problem in the semi-infinite interval | 2019-09-09 | Paper |
| A hybrid numerical method to solve nonlinear parabolic partial differential equations of time-arbitrary order | 2019-09-04 | Paper |
| The Legendre wavelet method for solving the steady flow of a third-grade fluid in a porous half space | 2019-08-28 | Paper |
| [https://portal.mardi4nfdi.de/wiki/Publication:4967062 Collocation Method using Compactly Supported Radial Basis Function for
Solving Volterra's Population Model] | 2019-07-02 | Paper |
| A development of Lagrange interpolation, Part I: Theory | 2019-04-27 | Paper |
| An efficient numerical method for solving nonlinear Thomas-Fermi equation | 2019-03-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3119773 | 2019-03-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4627346 | 2019-03-07 | Paper |
| Application of Bessel functions for solving differential and integro-differential equations of the fractional order | 2018-12-12 | Paper |
| Quasilinearization-Lagrangian method to solve the HIV infection model of CD4\(^+\)T cells | 2018-08-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4569462 | 2018-06-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4566051 | 2018-06-14 | Paper |
| Shifted Boubaker Lagrangian approach for solving biological systems | 2018-04-20 | Paper |
| Solving the Boundary Layer Flow of an Eyring-Powell Non-Newtonian Fluid | 2018-02-14 | Paper |
| Generalized Lagrangian Jacobi-Gauss-Radau collocation method for solving a nonlinear 2-D optimal control problem with the classical diffusion equation | 2018-02-13 | Paper |
| New numerical solutions for solving Kidder equation by using the rational Jacobi functions | 2018-01-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4593545 | 2017-11-22 | Paper |
| New numerical solution for solving nonlinear singular Thomas-Fermi differential equation | 2017-11-07 | Paper |
| An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems | 2017-09-27 | Paper |
| A matrix formulation of the Tau method for the numerical solution of non-linear problems | 2017-08-23 | Paper |
| Two efficient computational algorithms to solve the singularly perturbed Lane-Emden problem | 2017-08-23 | Paper |
| Pricing American options under jump-diffusion models using local weak form meshless techniques | 2017-07-28 | Paper |
| Solving the nonlinear Schlomilch's integral equation arising in ionospheric problems | 2017-06-30 | Paper |
| An Efficient Numerical Solution of Nonlinear Hunter–Saxton Equation | 2017-06-28 | Paper |
| Novel orthogonal functions for solving differential equations of arbitrary order | 2017-03-15 | Paper |
| Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov-Galerkin method | 2017-02-24 | Paper |
| Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions | 2017-02-09 | Paper |
| A new approach for solving nonlinear Thomas-Fermi equation based on fractional order of rational Bessel functions | 2017-01-12 | Paper |
| NUMERICAL SOLUTION OF AN INTEGRO-DIFFERENTIAL EQUATION ARISING IN OSCILLATING MAGNETIC FIELDS | 2016-12-21 | Paper |
| Solving a laminar boundary layer equation with the rational Gegenbauer functions | 2016-12-07 | Paper |
| Radial basis functions approach on optimal control problems: a numerical investigation | 2016-11-07 | Paper |
| Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions | 2016-09-08 | Paper |
| Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options | 2016-01-26 | Paper |
| Using Hermite Function for Solving Thomas-Fermi Equation | 2016-01-25 | Paper |
| Pricing European and American options by radial basis point interpolation | 2016-01-04 | Paper |
| Pricing European and American options using a very fast and accurate scheme: the meshless local Petrov-Galerkin method | 2015-11-09 | Paper |
| RBF DQ Method for Solving Nonlinear Differential Equations of Lane Emden type | 2015-10-07 | Paper |
| Rational Chebyshev of Second Kind Collocation Method for Solving a Class of Astrophysics Problems | 2015-08-28 | Paper |
| Application of meshfree methods for solving the inverse one-dimensional Stefan problem | 2014-10-17 | Paper |
| A new operational matrix based on Bernoulli polynomials | 2014-08-10 | Paper |
| The meshless method for solving radiative transfer problems in a slab medium based on radial basis functions | 2014-08-10 | Paper |
| The application of the exact operational matrices for solving the Emden-Fowler equations, arising in astrophysics | 2013-10-07 | Paper |
| The sinc-collocation method for solving the Thomas-Fermi equation | 2012-10-22 | Paper |
| Radial basis functions methods for solving Fokker-Planck equation | 2012-08-24 | Paper |
| The use of Sinc-collocation method for solving Falkner-Skan boundary-layer equation | 2012-06-21 | Paper |
| Sinc-collocation method for solving the Blasius equation | 2012-03-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3118630 | 2012-03-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3104045 | 2011-12-19 | Paper |
| Rational Chebyshev pseudospectral approach for solving Thomas-Fermi equation | 2011-11-30 | Paper |
| Solution of a laminar boundary layer flow via a numerical method | 2011-09-23 | Paper |
| An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method | 2011-09-23 | Paper |
| Collocation method using sinc and rational Legendre functions for solving Volterra's population model | 2011-09-23 | Paper |
| An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method | 2011-05-31 | Paper |
| Numerical approximations for population growth model by rational Chebyshev and Hermite functions collocation approach: A comparison | 2010-12-14 | Paper |
| Lagrangian method for solving Lane-Emden type equation arising in astrophysics on semi-infinite domains | 2010-08-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3551907 | 2010-04-16 | Paper |
| Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type | 2009-11-17 | Paper |
| Rational scaled generalized Laguerre function collocation method for solving the Blasius equation | 2009-11-06 | Paper |
