A novel stochastic ten non-polynomial cubic splines method for heat equations with noise term
Partial Differential Equations in Applied MathematicsIn this paper, a new numerical method for solving a class of stochastic partial differential equations is presented. The proposed method is based on a non-polynomial cubic spline algorithm with an O(h4) local truncation error.
Aisha F. Fareed +2 more
doaj +1 more source
Infant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 2, Page 234-246, March 2024.Abstract Improving parental sensitivity is an important objective of interventions to support families. This study examined reliability and validity of parental sensitivity ratings using a novel package of an e‐learning tool and an interactive decision tree provided through a mobile application, called the OK! package.
Mirte L. Forrer +3 more
wiley +1 more source
A One Step Method for the Solution of General Second Order Ordinary Differential Equations [PDF]
, 2012 In this paper, an implicit one step method for the numerical solution of second order initial value problems of ordinary differential equations has been developed by collocation and interpolation technique.
Adesanya, A. A. +2 more
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Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential
Demonstratio MathematicaIn this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
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Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems
, 2010 We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered class contains locally exact discrete gradient schemes and
Cieśliński, Jan L. +1 more
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An Equation-Free Approach for Second Order Multiscale Hyperbolic Problems in Non-Divergence Form
, 2018 The present study concerns the numerical homogenization of second order hyperbolic equations in non-divergence form, where the model problem includes a rapidly oscillating coefficient function. These small scales influence the large scale behavior, hence
Arjmand, Doghonay, Kreiss, Gunilla
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A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]
, 2018 In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar +2 more
core +2 more sources
Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]
, 2015 The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
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Optimal control analysis of a mathematical model of malaria and COVID-19 co-infection dynamics
Journal of Biological DynamicsIn this paper, we analyze a deterministic model of malaria and Corona Virus Disease 2019 co-infection within a homogeneous population. We first studied the single infection model of each disease and then the co-infection dynamics.
Abou Bakari Diabaté +2 more
doaj +1 more source
A first order system least squares method for the Helmholtz equation [PDF]
, 2015 We present a first order system least squares (FOSLS) method for the Helmholtz equation at high wave number k, which always deduces Hermitian positive definite algebraic system.
Chen, Huangxin, Qiu, Weifeng
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