Results 91 to 100 of about 111,104 (316)
Pan-American Journal of MathematicsThe method of lines (MOL) is a solution procedure for solving partial differential equation (PDE) and the Crank-Nicholson method (CNM) is an implicit finite difference method, used to solve the elliptic equation and similar partial differential equations
Md Roknujjaman +2 more
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. There is no problem in finding a general solution to the ordinary differential Clairaut equation. The corresponding procedure is described in details in the theory of ordinary differential equations.
L. A. Zhidova
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Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method [PDF]
مجلة جامعة الانبار للعلوم الصرفةComplex partial differential equation (CPDEs( appeared around the year 1900. D. Pompeiu was a famous mathematician who left a large impact in this field through introducing the Pompeiu integral operator, which forms a basis in the subject CDEs.
Amal Alhassan +2 more
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Solutions of a Certain Partial Differential Equation [PDF]
Proceedings of the National Academy of Sciences, 1931 The partial differential equation ∂u/∂t = x(∂^2u/∂x^2 – u) is readily seen to possess the two particular solutions U1 = xe^(-x tanh t) sech^2t, U2 = e^(-x coth t).
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Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer
Molecular Oncology, EarlyView.Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
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Green's function of a centered partial difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Applying a variation of Jacobi iteration we obtain the Green's function for the centered partial difference equation $$\Delta_{ww} u(x_{w-1},y_z) + \Delta_{zz} u(x_w,y_{z-1}) + f(u(x_w,y_z))=0,$$ which is the result of applying the finite difference ...
Richard Avery, Douglas Anderson
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A compactness theorem and its application to a system of partial differential equations [PDF]
, 1996 Xiangsheng Xu
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Molecular Oncology, EarlyView.Here, we demonstrate that HS1BP3 interacts with Cortactin through a proline‐rich region (PRR3.1) and show that this interaction, and HS1BP3 itself, promote cancer cell proliferation and invasion. Inhibition of this interaction leads to build‐up of TKS5 in multivesicular endosomes and altered secretion of CD63 and CD9, providing an explanation for the ...
Arja Arnesen Løchen +9 more
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Frequently Hypercyclic and Chaotic Behavior of Some First-Order Partial Differential Equation
Abstract and Applied Analysis, 2013 We study a particular first-order partial differential equation which arisen from a biologic model. We found that the solution semigroup of this partial differential equation is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Yu-Hsien Chang
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A Sharp Existence and Uniqueness Theorem for Linear Fuchsian Partial Differential Equations [PDF]
, 2001 Jose Ernie C. Lope
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