In this paper, a numerical procedure called multistage optimal homotopy asymptotic method (MOHAM) is introduced to solve multipantograph 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.
Abstract:The main objectives of this study were to introduce a maximum principle for second order elliptic equations in nondivergence form and to use a nondivergence technique called the ABP method to establish the maximum principles in small domains. The advantage of this work was that we obtain a maximum principle for equations with discontinuous coefficients of the leading terms and the ABP estimate was a bound for solutions of uniformly elliptic equations written in nondivergence form with measurable coefficients. It was an essential tool in the regularity theory for fully nonlinear equations.
Although the critical success factors might be different between the pre and post-adoption stages of mobile wallets, there have been few studies conducted to examine those factors for the post-adoption stage when compared to the number of studies conducted to examine those factors for the pre-adoption stage. Yet, the post-adoption stage of mobile wallets is crucial to the success and sustainability of the mobile wallets’ ecosystem. Thus, this study developed and examined a model by integrating relevant factors into the Technology Acceptance Model 2 (TAM2). Data were collected from 578 mobile wallet users in Jordan using an electronic questionnaire. A structural equation modelling approach was utilized to analyze the data. The results revealed that perceived usefulness and perceived ease of use have statistically significant positive direct effects on the intention to continuous use of mobile wallets, while subjective norm does not. In addition to that, results indicated that trust, security, and ubiquity have statistically significant positive direct effects on perceived usefulness and perceived ease of use, and, in turn, on the intention to continuous use of mobile wallets. Moreover, this study found that perceived ease of use and subjective norms have statistically significant positive direct effects on perceived usefulness, and, in turn, on the intention of continuous use of mobile wallets. While risk does not have a significant effect on perceived usefulness, it has been found to have a statistically significant negative direct effect on perceived ease of use, and, in turn, on the intention to continuous use of mobile wallets. The findings of this study should help stakeholders to develop more effective consumer retention tactics and formulate appropriate marketing decisions.
The unprecedented growth of social media imposed fierce competition on business companies. That is investors found new methods to expand their business activities, and, in turn, boost their revenues. While there has been a plethora of research done to examine the critical success factors of social commerce (s-commerce) in developed countries, there is a dearth of studies conducted in developing countries. Meanwhile, it has been evident that the significance of these factors may vary across cultures. Therefore, this study, following the social cognitive theory, aims to explore the critical success factors of s-commerce from the perspective of consumers in a developing country. To achieve that, this study utilized a questionnaire that sought information related to factors driving consumers' intention to purchase in s-commerce. Seven hundred and fifty-seven subjects completed the survey. Structural equation modeling techniques were utilized to analyze the data. The findings of this study show that trust in sellers, sociability, electronic Word-Of-Mouth (eWOM), perceived economic benefit, and informational fit-to-task positively influence the intention to purchase in s-commerce. In addition to that, it was found that sociability and eWOM positively influence consumers' trust in sellers. The findings of this study are expected to contribute to the theoretical and practical areas of s-commerce. They are expected to make a significant contribution to the literature on s-commerce adoption from the perspective of a developing country. From a practical point of view, the results of this study should help stakeholders in s-commerce in developing business strategies to better their competitive advantage, retain existing consumers and attract new ones, and, in turn, increase sales and profits.
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