Results 11 to 20 of about 37,682 (306)

Genetic programming approaches for solving elliptic partial differential equations [PDF]

open access: yes, 2008
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized ...
Sobester, A.   +5 more
core   +1 more source

A Local Fractional Elzaki Transform Decomposition Method for the Nonlinear System of Local Fractional Partial Differential Equations

open access: yesFractal and Fractional, 2022
In this paper, the nonlinear system of local fractional partial differential equations is solved via local fractional Elzaki transform decomposition method.
Halil Anac
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

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

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

New extended generalized Kudryashov method for solving three nonlinear partial differential equations [PDF]

open access: yes, 2020
New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger ...
Alngar, Mohamed E.M.   +2 more
core   +2 more sources

The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications [PDF]

open access: yes, 2008
This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, X.   +5 more
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

Exact and Approximate Solutions for Linear and Nonlinear Partial Differential Equations via Laplace Residual Power Series Method

open access: yesAxioms, 2023
The Laplace residual power series method was introduced as an effective technique for finding exact and approximate series solutions to various kinds of differential equations.
Haneen Khresat   +4 more
doaj   +1 more source

Inverse problem for a Fredholm third order partial integro-differential equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj   +1 more source

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