Results 51 to 60 of about 2,135 (188)

Approximate Analytical Solution of the Influences of Magnetic Field and Chemical Reaction on Unsteady Convective Heat and Mass Transfer of Air, Water, and Electrolyte Fluids Subject to Newtonian Heating in a Porous Medium

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
This paper addresses the unsteady hydrodynamic convective heat and mass transfer of three fluids namely air, water, and electrolyte solution past an impulsively started vertical surface with Newtonian heating in a porous medium under the influences of magnetic field and chemical reaction. Suitable dimensionless parameters are used to transform the flow
M. Sulemana, Y. I. Seini, O. D. Makinde, Luigi C. Berselli   +3 more
wiley   +1 more source

Numerical Study of the Inverse Problem of Generalized Burgers–Fisher and Generalized Burgers–Huxley Equations

Advances in Mathematical Physics, 2021
In this paper, the boundary value inverse problem related to the generalized Burgers–Fisher and generalized Burgers–Huxley equations is solved numerically based on a spline approximation tool. B-splines with quasilinearization and Tikhonov regularization
Javad Alavi, Hossein Aminikhah
doaj   +1 more source

Exploring Solution Strategies for Volterra Integro‐Differential Lane–Emden Equations in Astrophysics Using Haar Scale 3 Wavelets

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
The current research introduces a novel approach to address the computational challenges associated with solving the Lane–Emden‐type equations by transforming them from their conventional differential form to the corresponding integro‐differential form.
Ratesh Kumar, Sabiha Bakhtawar, Homan Emadifar, Zengtao Chen   +3 more
wiley   +1 more source

New Results on the Quasilinearization Method for Time Scales

Mathematics
We have developed the generalized quasilinearization method (QM) for an initial value problem (IVP) of dynamic equations on time scales by using comparison theorems with a coupled lower solution (LS) and upper solution (US) of the natural type.
Şahap Çetin, Yalçın Yılmaz, Coşkun Yakar   +2 more
doaj   +1 more source

Numerical Methods Based on the Hybrid Shifted Orthonormal Polynomials and Block‐Pulse Functions for Solving a System of Fractional Differential Equations

Complexity, Volume 2024, Issue 1, 2024.
This paper develops two numerical methods for solving a system of fractional differential equations based on hybrid shifted orthonormal Bernstein polynomials with generalized block‐pulse functions (HSOBBPFs) and hybrid shifted orthonormal Legendre polynomials with generalized block‐pulse functions (HSOLBPFs).
Abdulqawi A. M. Rageh, Adel R. Hadhoud, Hassan Zargarzadeh   +2 more
wiley   +1 more source

Quasilinearization‐Collocation Method for the Numerical Solution of Nonlinear Fractional Volterra Integro‐Differential Equations With Logarithmic Weakly Singular Kernel

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro‐differential equations with logarithmic weakly singular kernel. After examining the behavior of the solution of the integro‐differential equation, we convert it into a ...
Qays Atshan Almusawi, Esmaeil Najafi, Birendra Nath Mandal   +2 more
wiley   +1 more source

A periodic boundary value problem for nonlinear singular differential systems with ‘maxima’ [PDF]

, 2015
décembre 20052005/12 (N254)-2005/12.Appartient à l’ensemble documentaire ...
Peiguang Wang, Xiang Liu, R Bellman, V Lakshmikantham, V Lakshmikantham, V Laksmikantham, B Ahmad, Z Drici, DD Bainov, B Ahmad, JV Devi, JV Devi, PG Wang, HH Rosenbrock, AR Abd-Ellateef Kamar, D O’Regan, M El-Gebeily, M El-Gebeily, D Bainov, RP Agarwal   +19 more
core   +2 more sources

A Composite Wavelet–Rational Approach for Solving the Volterra’s Population Growth Model Over Semi‐Infinite Domain

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
In problems defined on a semi‐infinite domain, rational Chebyshev or Laguerre functions are the generic choices of basis functions in spectral methods. The rationale is that if the solution is oscillatory near the origin, then large number of basis functions may be required to retrieve the spectral accuracy that is not convenient.
Leila Rangipoor, Tavassoli Kajani Majid, Saeid Jahangiri, Emilio Turco   +3 more
wiley   +1 more source

Qualitative Outcomes on Monotone Iterative Technique and Quasilinearization Method on Time Scale

Axioms
In this paper, a nonlinear dynamic equation with an initial value problem (IVP) on a time scale is considered. First, applying comparison results with a coupled lower solution (LS) and an upper solution (US), we improved the quasilinearization method ...
Şahap Çetin, Yalçın Yılmaz, Coşkun Yakar   +2 more
doaj   +1 more source

The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2003
The generalized method of quasilinearization is applied to obtain a monotone sequence of iterates converging uniformly and rapidly to a solution of second order nonlinear boundary value problem with nonlinear integral boundary conditions.
Rahmat Khan
doaj   +1 more source