Skip to main content

Recent Advancement on Analytical Solution for Linear and Nonlinear Systems of Partial Differential Equations Involving Time Conformable Fractional Derivatives | Chapter 06 | Theory and Applications of Mathematical Science Vol. 3


In this short chapter we apply the conformable fractional reduced differential transform (CFRDTM) method to compute solutions for systems of linear and nonlinear conformable fractional PDEs. The proposed method gives a numerical approximate solution in the form of an infnite series that converges to a closed form solution; which is in many cases the exact solution. We inspect its efficiency in solving systems of CFPDEs by working on several different nonlinear systems. The obtained results show that CFRDTM yielded similar solutions to exact solutions, confirming its proficiency as a competent technique for solving CFPDEs systems. It required very little computational work and hence consumed much less time compared to other numerical methods.

Author(s) Details

Maher Jneid
Departement of Mathematics and Computer Science, Beirut Arab University, Lebanon.

Abir Chaouk
Departement of Mathematics, Bilkent University, Turkey.

View Books: http://bp.bookpi.org/index.php/bpi/catalog/book/146

Labels:

Comments

Post a Comment

Popular posts from this blog

A Prospective Study about Safety and Efficacy of Perioperative Lidocaine Infusion | Chapter 09 | New Horizons in Medicine and Medical Research Vol. 8

 Opioids cause clinically significant side effects such as respiratory depression, immunosuppression, muscle rigidity, negative inotropism, nausea, vomiting, hyperalgesia, urine retention, postoperative ileus, and drowsiness. Perioperative opioids are a major contributor to the United States' and other countries' opioid epidemics. Non-opioid analgesics, particularly lidocaine, are becoming more common for perioperative use as a result of this. A total of 185 adult patients were randomly assigned to one of two groups: control group I (105 patients) [fentanyl group] or group ii (80 patients) [opioid-free anaesthesia group]. Lidocaine 1.5 mg/kg bolus followed by 1.5 mg/kg/h infusion intraoperatively, and 1.5-2 mg/kg/h infusion for 2-8 hours postoperatively were given to patients in both groups at anaesthetic induction. Intraoperatively, both groups received analgesic adjuvants such as diclofenac 75 mg, paracetamol 1 gm, and mgso4 30-50 mg/kg. If the mean arterial pressure (map)
Post a Comment
Read more

A Brief Study of Middleware Technologies: Programming Applications and Management Systems | Chapter 15 | Novel Research Aspects in Mathematical and Computer Science Vol. 1

  Many platforms, services, applications, hardware, and operating systems are connected through the middleware layer. Because the middleware layer abstracts much low-level complexity and makes applications and software systems portable, it allows disparate systems to interface and function together in harmony. Middleware technologies enable software engineers to swiftly construct software systems and applications, allowing developers to focus on more important tasks. This chapter examines several types of middleware systems and discusses middleware capabilities, middleware operation, middleware's function in cloud-based systems, and the best middleware platforms to use. Middleware systems are widely utilised and can be found in practically any software system or application. Middleware programmes provide as a link between many sorts of systems and protocols. They serve as a mechanism for various systems. To successfully exchange information, it runs on a variety of operating system
Post a Comment
Read more

Patients’ Perspective of Acute Post-operative Pain Management: A Multicentre Survey of Tertiary Hospitals in Maharashtra, India | Chapter 08 | New Horizons in Medicine and Medical Research Vol. 8

 When postoperative pain is adequately controlled, patients' satisfaction and patient-related outcomes (PROs) increase. Understanding the patients' perspective is crucial since it supports in the formulation of improvement strategies. Because wrong attitudes and assumptions might block pain alleviation, patients' attitudes and beliefs are critical. As a result, a multicenter study of patients' attitudes, beliefs, experiences, and satisfaction levels with acute postoperative pain management was done in Maharashtra's tertiary hospitals. In addition, the responses were examined to evaluate if the Acute Pain Service (APS) resulted in improved patient outcomes and satisfaction. A 13-item questionnaire adapted from previous studies was used to capture patients' experiences with postoperative pain treatment. The responses of 179 patients are included in the study. The findings revealed that 91.6 percent of patients experienced postoperative pain, with 75.5 percent
Post a Comment
Read more