Contemporary review of techniques for the solution of nonlinear Burgers equation
In the present paper, a comprehensive review of the different techniques used for solving the
Burgers equation has been presented along with the recent progress going in finding its …
Burgers equation has been presented along with the recent progress going in finding its …
Approximate solutions of nonlinear partial differential equations using B-polynomial bases
A multivariable technique has been incorporated for guesstimating solutions of Nonlinear
Partial Differential Equations (NPDE) using bases set of B-Polynomials (B-polys). To …
Partial Differential Equations (NPDE) using bases set of B-Polynomials (B-polys). To …
Employing a Fractional Basis Set to Solve Nonlinear Multidimensional Fractional Differential Equations
Fractional-order partial differential equations have gained significant attention due to their
wide range of applications in various fields. This paper employed a novel technique for …
wide range of applications in various fields. This paper employed a novel technique for …
[HTML][HTML] A B-Polynomial Approach to Approximate Solutions of PDEs with Multiple Initial Conditions
MI Bhatti, MH Rahman - Axioms, 2024 - mdpi.com
In this article, we present a novel B-Polynomial Approach for approximating solutions to
partial differential equations (PDEs), addressing the multiple initial conditions. Our method …
partial differential equations (PDEs), addressing the multiple initial conditions. Our method …
[HTML][HTML] Dynamics of particle in confined-harmonic potential in external static electric field and strong laser field
Dynamics of a particle in confined-harmonic potential, subjected to external static electric
and time-dependent laser fields is studied. The energy levels and wave functions of …
and time-dependent laser fields is studied. The energy levels and wave functions of …
26 Results of hyperbolic partial differential equations in B-poly basis
MI Bhatti, E Hinojosa - Journal of Physics Communications, 2020 - iopscience.iop.org
A two-variable process to estimate results of Hyperbolic Partial Differentiation (HPD)
equations in a B-Polynomial (B-Poly) bases is established. In the proposed process, a linear …
equations in a B-Polynomial (B-Poly) bases is established. In the proposed process, a linear …
Darboux transformations for the time-dependent nonhomogeneous Burgers equation in (1+ 1) dimensions
A Schulze-Halberg, JMC Jiménez - Physica Scripta, 2009 - iopscience.iop.org
We extend the formalism of nth order Darboux transformations to the time-dependent
nonhomogeneous Burgers equation (NBE) in (1+ 1) dimensions. Similar to the Schrödinger …
nonhomogeneous Burgers equation (NBE) in (1+ 1) dimensions. Similar to the Schrödinger …
A higher order numerical implicit method for non-linear Burgers' equation
This paper proposes a higher order implicit numerical scheme to approximate the solution of
the nonlinear partial differential equation (PDE). This equation is a simplified form of Navier …
the nonlinear partial differential equation (PDE). This equation is a simplified form of Navier …
[PDF][PDF] Solutions of the harmonic oscillator equation in a B-polynomial basis
MI Bhatti - Adv. Stud. Theor. Phys, 2009 - academia.edu
A method to construct approximate solutions for a quantum mechanical system has been
introduced in a Bernstein-polynomial (B-polynomial) basis. The B-polynomial-Galerkin …
introduced in a Bernstein-polynomial (B-polynomial) basis. The B-polynomial-Galerkin …
A Novel Technique to Solve Fractional Differential Equations Using Fractional-Order B-Polynomial Basis Set
MH Rahman - 2023 - search.proquest.com
This thesis uses B-Polynomial bases to solve both one-dimensional and multidimensional
linear and nonlinear partial differential equations, as well as linear and nonlinear fractional …
linear and nonlinear partial differential equations, as well as linear and nonlinear fractional …