Results 11 to 20 of about 331,900 (322)

Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation Method [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics
This research is a ‌combination of the homotopy ‌perturbation method with ‌Elzaki transform method ‌and Elzaki inverse to ‌solve some nonlinear ‌partial differential ‌equations.
Mohammed Alsofey   +1 more
doaj   +1 more source

On a linear system of differential equations

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2019
The linear systems of partial differential equations of the first order with the identical main parts is considered. Аpplying the well-known relation between a normal system of ordinary differential equations and a linear system of partial differential
T. М. Aldibekov, M. M. Aldazharova
doaj   +1 more source

Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]

open access: yes, 2005
Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
core   +1 more source

A Parameterized multi-step Newton method for solving systems of nonlinear equations [PDF]

open access: yes, 2016
We construct a novel multi-step iterative method for solving systems of nonlinear equations by introducing a parameter. to generalize the multi-step Newton method while keeping its order of convergence and computational cost.
Ahmad, Fayyaz   +2 more
core   +2 more sources

APPLICATION OF BACKLUND DIFFERENTIAL CONSTRAINT FOR CONSTRUCTING EXACT SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Finding exact solutions of nonlinear partial differential equations is one of the main problems of the nonlinear systems theory. A number of methods have been developed for integrable systems, but due to the complexity of various nonlinear
T. V. Red'kina, O. V. Novikova
doaj   +1 more source

Uncertainty Quantification for Numerical Solutions of the Nonlinear Partial Differential Equations by Using the Multi-Fidelity Monte Carlo Method

open access: yesApplied Sciences, 2022
The Monte Carlo simulation is a popular statistical method to estimate the effect of uncertainties on the solutions of nonlinear partial differential equations, but it requires a huge computational cost of the deterministic model, and the convergence may
Wenting Du, Jin Su
doaj   +1 more source

Consistent travelling waves solutions to the non-linear time fractional Klein–Gordon and Sine-Gordon equations through extended tanh-function approach

open access: yesJournal of Taibah University for Science, 2022
In this study, the extended tanh-function method has been used to find further general travelling wave solutions for space-time fractional nonlinear partial differential equations, namely, the time fractional nonlinear Sine-Gordon equation and Klein ...
Umme Sadiya   +3 more
doaj   +1 more source

Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions [PDF]

open access: yes, 1975
We study a nonlinear problem which occurs in the theory of particulate formation in supersaturated chemical solutions. Mathematically, the problem involves the bifurcation of time-periodic solutions in an initial-boundary value problem involving a ...
Cohen, Donald S., Keener, James P.
core   +1 more source

Nonlinear elliptic problems with the method of finite volumes

open access: yesDifferential Equations and Nonlinear Mechanics, 2006
We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
doaj   +1 more source

New applications of reduced differential transform method

open access: yesAlexandria Engineering Journal, 2014
In this paper, we applied the reduced differential transform method (RDTM) for solving two types of nonlinear partial differential equations, namely, generalized Drinfeld–Sokolov (gDS) equations and Kaup–Kupershmidt (KK) equation.
Mohammed O. Al-Amr
doaj   +1 more source

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