Diana Bratu
نویسندگان
چکیده
منابع مشابه
Spline-based numerical treatments of Bratu-type equations
Three different spline-based approaches for solving Bratu and Bratu-type equations are presented. The classical cubic spline collocation method, an adaptive spline collocation on nonuniform partitions, and an optimal collocation method are derived for solving Bratu-type equations. Numerical examples are presented to verify the efficiency and accuracy of these methods when compared to other nume...
متن کاملHigh Order Compact Finite Difference Schemes for Solving Bratu-Type Equations
In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is consistent with its numerical rate of convergence. The maximum absolute errors in the solution at grid points are calculated and it is shown that the ...
متن کاملInterdisciplinarity in oro-maxillofacial dysmorphism rehabilitation of a patient with Turner syndrome. A clinical case report.
STATEMENT OF THE PROBLEM Turner syndrome is a chromosomal disorder that manifests with short stature, gonadal dysfunction, hypothyroidism, congenital heart disease, and distinct craniofacial features including oro-maxillofacial dysmorphism. This paper presents a case of a 30-year-old female patient with Turner syndrome who sought dental care to improve the dental and facial morphology and resto...
متن کاملHomotopy perturbation method for solving fractional Bratu-type equation
In this paper, the homotopy perturbation method (HPM) is applied to obtain an approximate solution of the fractional Bratu-type equations. The convergence of the method is also studied. The fractional derivatives are described in the modied Riemann-Liouville sense. The results show that the proposed method is very ecient and convenient and can readily be applied to a large class of fractional p...
متن کاملNew perturbation-iteration solutions for Bratu-type equations
Perturbation–iteration theory is systematically generated for both linear and nonlinear second-order differential equations and applied to Bratu-type equations. Different perturbation–iteration algorithms depending upon the number of Taylor expansion terms are proposed. Using the iteration formulas derived using different perturbation–iteration algorithms, new solutions of Bratu-type equations ...
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