Page 19 - programme book

INVITED SPEAKERS

Numerical Study of Two-Derivative Runge–Kutta Type Methods for
Solving General Third-order Ordinary Differential Equations

Norazak Senu and Lee Khai Chien
2)
1, a)
1) Department of Mathematics and Statistics, Faculty of Science,
Universiti Putra Malaysia, UPM, 43400 Serdang, Selangor, Malaysia
2) Institute for Mathematical Research, Universiti Putra Malaysia,
UPM, 43400 Serdang, Selangor, Malaysia.

norazak@upm.edu.my
a)

Abstract. A class of explicit Runge–Kutta type methods with the involvement of fourth derivative,
denoted as two-derivative Runge–Kutta type (TDRKT) methods, are proposed and investigated for
solving a class of third-order ordinary differential equations in the form u'''= f (x, ux,u'x,u''(x)). In this
paper, two stages with algebraic order five and three stages with algebraic order six are presented. The
derivation of TDRKT methods involves single third derivative and multiple evaluations of fourth
derivative for every step. Stability property of the methods are analyzed. Beside that study on
trigonometrically fitted methods for solving problems with oscillating solutions are presented. Accuracy
and efficiency of the new methods are exhibited through numerical experiments.

Keywords: Runge–Kutta type methods; third-order ordinary differential equations; Algebraic order;
stability property; rooted-tree

Prevalence and Determinants of Hypertension and Diabetes in India: An
Evidence from NFHS-4 Data

Gargi Tyagi and Shalini Chandra
1,b)
1,a)

Department of Mathematics and Statistics, Banasthali Vidyapith, Banasthali, Rajasthan
1
304022 India.

Corresponding author: tyagi.gargi@gmail.com
a)
handrshalini@gmail.com
b)

Abstract. Hypertension and diabetes are two major risk factors which cause life threatening non-
communicable diseases such as brain stroke, cardiovascular diseases, etc. India is seeing a rapid
increase in prevalence of hypertension and diabetes year by year. To reduce such cases, it is important
to identify socio-demographic and geographic groups. This study aims to identify some socio-
demographic factors associated with hypertension and diabetes and to find spatial clusters to locate
high prevalent areas. Spatial regression models will be used to estimate the area-specific prevalence
of hypertension and diabetes using the national family health survey 2015-16 (NFHS-4) data.

Keywords: Non-communicable diseases, Regression model, Spatial model, National Family Health
Survey, India.