Approximate Solutions of Multi-Pantograph Type Delay Differential Equations Using Multistage Optimal Homotopy Asymptotic Method
Journal Title: Journal of Mathematical and Fundamental Sciences - Year 2018, Vol 50, Issue 3
Abstract
In this paper, a numerical procedure called multistage optimal homotopy asymptotic method (MOHAM) is introduced to solve multi-pantograph equations with time delay. It was shown that the MOHAM algorithm rapidly provides accurate convergent approximate solutions of the exact solution using only one term. A comparative study between the proposed method, the homotopy perturbation method (HPM) and the Taylor matrix method are presented. The obtained results revealed that the method is of higher accuracy, effective and easy to use.
Authors and Affiliations
Nidal Ratib Anakira, Ali Jameel, Abedel-Karrem Alomari, Azizan Saaban, Mohammad Almahameed
Keywords
Related Articles
- EP ID EP541111
- DOI 10.5614/j.math.fund.sci.2018.50.3.1
- Views 111
- Downloads 0
Assessing Resistance and Bioremediation Ability of Enterobacter sp. Strain Saw-1 on Molybdenum in Various Heavy Metals and Pesticides
One of the most economical approaches for removal of toxic compounds is bioremediation. In the long term, bioremediation is economic and feasible compared to other methods, such as physical or chemical methods. A bacteri...
Robust Estimators for the Correlation Measure to Resist Outliers in Data
The objective of this research was to propose a composite correlation coefficient to estimate the rank correlation coefficient of two variables. A simulation study was conducted using 228 situations for a bivariate norma...
Genetic Diversity of Indigofera tinctoria L. in Java and Madura Islands as Natural Batik Dye based on Inter-simple Sequence Repeat Markers
Indigo leaves (Indigofera tinctoria L.) are utilized as a source of batik dye in Java and Madura islands, Indonesia. Batik makers from the islands collect indigo leaves from wild plants. Continuous collection of wild pla...
Safe Dosage of Caprine CSN1S2 Protein from Fresh Local Goat Milk for Rats Evaluated by Acute and Sub-Chronic Toxicity Testing
Caprine milk CSN1S2 protein contains bioactive peptides that have a specific function in regulating the metabolic homeostasis mechanism between different organs. However, the safe dosage of goat milk consumption has not...
Antihyperglycemic Activity of Piper crocatum Leaves and Cinnamomum burmannii Bark Mixture Extract in Streptozotocin-induced Diabetic Rats
Indonesia presently has the fourth largest diabetic mellitus prevalence of all countries in the world. In a previous study, a mixture extract of Piper crocatum leaves and Cinnamomum burmannii bark showed in vitro antihyp...