Least-Squares Chebyshev Method for Solving Fractional Integro-diffrential Equations

Journal Title: Engineering and Technology Journal - Year 2021, Vol 6, Issue 7

Abstract

The main purpose of this study gears towards finding numerical solution to fractional integro-differential equations. The technique involves the application of caputo properties and Chebyshev polynomials to reduce the problem to system of linear algebraic equations and then solved using MAPLE 18. To demonstrate the accuracy and applicability of the presented method some numerical examples are given. Numerical results show that the method is easy to implement and compares favorably with the exact results. The graphical solution of the method is displayed.

Authors and Affiliations

 Oyedepo Taiye  ,  Ayinde Muhammed Abdullahi ,   Ishaq Adama Ajimati  ,  Adenipekun Adewale Emmanuel

Keywords

Related Articles

COMPARISON OF THE PREDICTION ACCURACY THRU ARTIFICIAL NEURAL NETWORKS WITH RESPECT TO MULTIPLE LINEAR REGRESSION USING R

In this paper a comparison of the prediction accuracy of a response variable given a set of predictors was made using statistical and artificial intelligence methods using R language. The compared methods were the multip...

Estimation of Solar Power Generation Through the Use of Effective Forecasting Algorithms

The unpredictable nature of solar power generation poses significant challenges to energy management, particularly in power grids with high solar penetration, leading to potential imbalances between supply and demand. Th...

ERODIBILITY INDICES UNDER DIFFERENT LAND USES IN AWKA, NIGERIA

Erosion problems are on the increase, worldwide, especially in the Southeastern part of Nigeria, where this problem is becoming uncontrollable. In this study, erodibility indices were studied in Nnamdi Azikiwe University...

DESIGN AND DEVELOPMENT OF AN IOT-BASED INTELLIGENT INCUBATOR

The intelligent egg incubator is designed to improve existing egg incubators to transform the traditional breeding method into a modern and advanced breeding method. To reduce the chore that traditional breeding methods...

E -WASTE LEGISLATION IN INDIA: STUDY AND COMPARATIVE ANALYSIS

This paper aims at subjective and comparative study and analysis of the existing laws and rules that govern management and handling of electronic waste in India. The assessment and scrutiny of the shortcomings of the exi...

Download PDF file
  • EP ID EP698230
  • DOI 10.47191/etj/v6i7.02
  • Views 57
  • Downloads 0

How To Cite

 Oyedepo Taiye ,  Ayinde Muhammed Abdullahi,    Ishaq Adama Ajimati ,  Adenipekun Adewale Emmanuel (2021). Least-Squares Chebyshev Method for Solving Fractional Integro-diffrential Equations. Engineering and Technology Journal, 6(7), -. https://europub.co.uk/articles/-A-698230