Results 21 to 30 of about 4,565,590 (274)

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

Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations

open access: yesMathematics, 2023
Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
doaj   +1 more source

The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations

open access: yesAbstract and Applied Analysis, 2014
The spectral homotopy analysis method is extended to solutions of systems of nonlinear partial differential equations. The SHAM has previously been successfully used to find solutions of nonlinear ordinary differential equations.
S. S. Motsa   +3 more
doaj   +1 more source

The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation

open access: yesResults in Physics
Due to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
doaj   +1 more source

Painlevé Analysis for Nonlinear Partial Differential Equations [PDF]

open access: yes, 1999
61 pages, no figure, standard Latex, to appear in The Painlev\'e property, one century later, ed. R. Conte, CRM series in mathematical physics (Springer--Verlag, Berlin, 1998) (Carg\`ese school, 3-22 June 1996)
openaire   +2 more sources

On discrete analogues of nonlinear implicit differential equations

open access: yesAdvances in Difference Equations, 2006
This paper deals with some classes of nonlinear implicit difference equations obtained via discretization of nonlinear differential-algebraic or partial differential-algebraic equations.
Anh Pham Ky, Loi Le Cong
doaj   +2 more sources

Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations

open access: yesAbstract and Applied Analysis, 2013
The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractional foam drainage and KdV ...
Ali Akgül   +2 more
doaj   +1 more source

The impact of leukocyte‐associated RNA retention on platelet RNA‐based cancer detection

open access: yesMolecular Oncology, EarlyView.
Platelets carry RNA signals that may help detect cancer, but platelet samples can also retain RNA from white blood cells. We found that this retained white blood cell signal did not significantly affect machine learning cancer classification, suggesting that the cancer‐related RNA signal in platelets is largely independent of leukocyte‐associated RNA ...
Michał Sieczczyński   +12 more
wiley   +1 more source

Power Series Solution for Solving Nonlinear Burgers-Type Equations

open access: yesAbstract and Applied Analysis, 2015
Power series solution method has been traditionally used to solve ordinary and partial linear differential equations. However, despite their usefulness the application of this method has been limited to this particular kind of equations.
E. López-Sandoval   +3 more
doaj   +1 more source

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