iosr-Jm   Volume-19 ~ Issue-5 ~ Sep. – Oct. 2023

Abstract : In this article the problem of solving the nonlinear heat equation is raised, this is one of many of which a solution can be found by making a change of variable, or by making a Taylor development around a point to work on, in our In the case it is a transport phenomenon whose equation is non-linear, the reason for being non-linear corresponds to the thermal conductivity of the material, which is a function of the temperature, which is what is generally found in all real cases, since few materials are one hundred percent pure. For this type of case in particular, a method is used which consists of modifying the thermal conductivity function using the Gustav Robert Kirchhoff transform, which....

Key Word: Heat Equation, Kirchhoff, Poisson Equation, Nonlinear Heat Equation, Temperature, Thermal Conductivity

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Abstract : The present paper consists of Theory and classification of.......

Key Word: Vector space, field, algebra, Lie algebra, simplicity, semisimplicity, representation, weight, module

[1]. James Humphreys, Numerical Mathematics (Introduction To Lie Algebras And Representation Theory), Springer, 1980
[2]. Serre J-P, Complex Semisimple Lie Algebras, Springer (2006).
[3]. N. J. Vilenkin, Special Functions And The Theory Of Group Representations, Providence RI: American Mathematical Society, 1968.
[4]. Jacques Faraut, Analyse Sur Les Groupes De Lie : Une Introduction, Calvage Et Mounet, 2006.
[5]. Fulton W., Harris J, Representation Theory: A First Course, Springer (2001)

Abstract : In this paper, we will discuss modeling of severity on motor vehicle insurance claims for third party liability guarantees with comprehensive coverage at PT. The 2019 X uses the Generalized Inverse-Lindley distribution. The Generalized Inverse-Lindley distribution is a non-composite distribution with α and λ parameter. The parameters in the Generalized Inverse-Lindley distribution are estimated through the maximum likelihood estimator method using the Newton-Raphson iteration numerical method. Distribution fit testing is carried out using the Kolmogorov-Smirnov test. The data used is secondary data from the recording results of the insurance company PT. X....

Key Word: Motor Vehicle Insurance, Third Party Liability, Generalized Inverse-Lindley Distribution, Newton-Raphson, Kolmogorov-Smirnov

[1] N. Indra, "Pelaksanaan Asuransi Kebakaran Pada Pt. Asuransitakaful Umum Cabang Padang," 2015.
[2] A. N. Hidayah, "Pengaruh Klaim, Hasil Investasi, Risk Based Capital (Rbc) Terhadap Laba Perusahaan Asuransi Syariah Di Indonesia Tahun 2016," 2018.
[3] Y.-K. Tse, "Nonlife Actuarial Models Theory, Methods And Evaluation," 2009.
[4] R. S. Nastiti And A. K. Mutaqin, "Penerapan Model Komposit Weibull-Pareto Pada Data Klaim Asuransi Harta Benda Skripsi Oleh Raisha Shahelia Nastiti Npm: 10060115027 Program Studi Statistika Fakultas Matematika Dan Ilmu Pengetahuan Alam Universitas Islam Bandung 2021," 2021.
[5] A. Asgharzadeh, S. Nadarajah, And F. Sharafi, "Generalized Inverse Lindley Distribution With Application To Danish Fire Insurance Data," Commun. Stat. - Theory Methods, Vol. 46, No. 10, Pp. 5001–5021, May 2017,
Doi: 10.1080/03610926.2015.1096394.