Select Publications

Journal articles

Tisdell CC, 2024, 'Green's Function for Laminar Flow in Channels With Porous Walls in the Presence of a Transverse Magnetic Field', ASME Journal of Heat and Mass Transfer, 146, http://dx.doi.org/10.1115/1.4064689

Welberry HJ; Tisdell CC; Huque MH; Jorm LR, 2023, 'Have We Been Underestimating Modifiable Dementia Risk? An Alternative Approach for Calculating the Combined Population Attributable Fraction for Modifiable Dementia Risk Factors', American Journal of Epidemiology, 192, pp. 1763 - 1771, http://dx.doi.org/10.1093/aje/kwad138

Tisdell CC, 2023, 'Improved perturbation solution for two-dimensional viscous flow between expanding or contracting permeable walls', Journal of Biomechanics, 155, http://dx.doi.org/10.1016/j.jbiomech.2023.111642

Tisdell CC, 2023, 'Improved perturbation solution for viscous flow in a dilating-contracting permeable channel with velocity slip', Physics of Fluids, 35, http://dx.doi.org/10.1063/5.0159711

Hao ML; Tisdell CC, 2023, 'When is the Porous, Laminar Flow Problem with Slip Condition Well Posed? And Where Does the Solution Lie?', Transport in Porous Media, 147, pp. 281 - 303, http://dx.doi.org/10.1007/s11242-023-01907-7

Almuthaybiri SS; Tisdell CC, 2022, 'Laminar flow in channels with porous walls: advancing the existence, uniqueness and approximation of solutions via fixed point approaches', Journal of Fixed Point Theory and Applications, 24, http://dx.doi.org/10.1007/s11784-022-00971-8

Tisdell C; Bee Olmedo D, 2022, 'Beyond the compass: Exploring geometric constructions via a circle arc template and a straightedge', STEM Education, 2, pp. 1 - 36, http://dx.doi.org/10.3934/steme.2022001

Almuthaybiri SS; Jonnalagadda JM; Tisdell CC, 2021, 'Existence and uniqueness of solutions to discrete, third-order three-point boundary value problems', Cubo, 23, pp. 441 - 455, http://dx.doi.org/10.4067/S0719-06462021000300441

Cook-Sather A; Slates S; Allen M; Baskaran R; Crombie P; Derounian JG; Dianati S; Dudson M; Grayson D; Haroon MA; Fraser C; Jardine H; Millmore A; Milton E; Mori Y; Morgan A; Pereira JV-B; Salman M; Scharff L; Storey J; Sum K; Tisdell CC, 2021, 'The many manifestations of successful partnership', International Journal for Students as Partners, 5, pp. 221 - 232, http://dx.doi.org/10.15173/ijsap.v5i2.4911

Guo W; Li W; Tisdell CC, 2021, 'Effective pedagogy of guiding undergraduate engineering students solving first‐order ordinary differential equations', Mathematics, 9, http://dx.doi.org/10.3390/math9141623

Almuthaybiri SS; Jonnalagadda JM; Tisdell CC, 2021, 'Existence and Uniqueness of Solutions to Third-Order Boundary Value Problems', Trends in Computational and Applied Mathematics, 22, pp. 221 - 240, http://dx.doi.org/10.5540/tcam.2021.022.02.00221

Tisdell CC, 2021, 'Embedding opportunities for participation and feedback in large mathematics lectures via audience response systems', STEM Education, 1, pp. 75 - 91, http://dx.doi.org/10.3934/steme.2021006

Tisdell CC, 2021, 'Reimagining multiplication as diagrammatic and dynamic concepts via cutting, pasting and rescaling actions', STEM Education, 1, pp. 170 - 185, http://dx.doi.org/10.3934/steme.2021013

Tisdell CC, 2021, 'The roles that shooting methods can play in the theory of discrete boundary value problems', Journal of Difference Equations and Applications, 27, pp. 241 - 249, http://dx.doi.org/10.1080/10236198.2021.1887158

Almuthaybiri SS; Tisdell CC, 2021, 'Uniqueness of solutions for a coupled system of nonlinear fractional differential equations via weighted norms', Communications on Applied Nonlinear Analysis, 28, pp. 65 - 76

Tisdell CC, 2021, 'Why do ‘fast’ multiplication algorithms work? Opportunities for understanding within younger children via geometric pedagogy', International Journal of Mathematical Education in Science and Technology, 52, pp. 527 - 549, http://dx.doi.org/10.1080/0020739X.2019.1692933

Almuthaybiri SS; Tisdell CC, 2020, 'Establishing existence and uniqueness of solutions to the boundary value problem involving a generalized Emden equation, embracing Thomas–Fermi-like theories', Journal of Engineering Mathematics, 124, pp. 1 - 10, http://dx.doi.org/10.1007/s10665-020-10055-6

Tisdell CC; Jovanoski Z; Guo W; Bunder J, 2020, 'Proceedings of the 14th Engineering Mathematics and Applications Conference', ANZIAM Journal, 61, http://dx.doi.org/10.21914/anziamj.v61i0.15015

Almuthaybiri SS; Tisdell CC, 2020, 'EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THIRD-ORDER BOUNDARY VALUE PROBLEMS: ANALYSIS IN CLOSED AND BOUNDED SETS', DIFFERENTIAL EQUATIONS & APPLICATIONS, 12, pp. 291 - 312, http://dx.doi.org/10.7153/dea-2020-12-19

Stinson CP; Almuthaybiri SS; Tisdell CC, 2020, 'A note regarding extensions of fixed point theorems involving two metrics via an analysis of iterated functions', ANZIAM Journal, 61, pp. C15 - C30, http://dx.doi.org/10.21914/anziamj.v61i0.15048

Almuthaybiri SS; Tisdell CC, 2020, 'Sharper existence and uniqueness results for solutions to third-order boundary value problems', Mathematical Modelling and Analysis, 25, pp. 409 - 420, http://dx.doi.org/10.3846/mma.2020.11043

Tikare S; Tisdell CC, 2020, 'NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES WITH IMPULSES AND NONLOCAL CONDITIONS', Journal of Classical Analysis, 16, pp. 125 - 140, http://dx.doi.org/10.7153/jca-2020-16-13

Almuthaybiri SS; Tisdell CC, 2020, 'Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis', Open Mathematics, 18, pp. 1006 - 1024, http://dx.doi.org/10.1515/math-2020-0056

Tisdell C; Balasooriya C; Langford M; Steel A; Velan G, 2019, 'Reflecting on the UNSW Scientia Education Academy: A case study for inspiring educational excellence', Asian Journal of the Scholarship of Teaching and Learning, 9, pp. 232 - 244, http://nus.edu.sg/cdtl/engagement/publications/ajsotl-home/asian-journal-of-the-scholarship-of-teaching-and-learning

Tisdell CC, 2019, 'An accessible, justifiable and transferable pedagogical approach for the differential equations of simple harmonic motion', International Journal of Mathematical Education in Science and Technology, 50, pp. 950 - 959, http://dx.doi.org/10.1080/0020739X.2018.1516826

Tisdell C, 2019, 'An Arts-Integrated Approach to Learning Mathematics through Music: A Case Study of the Song “e is a Magic Number”', International Journal of Innovation in Science and Mathematics Education, 27, pp. 46 - 61, https://openjournals.library.sydney.edu.au/index.php/CAL/article/view/13794

Tisdell CC, 2019, 'On Picard's iteration method to solve differential equations and a pedagogical space for otherness', International Journal of Mathematical Education in Science and Technology, 50, pp. 788 - 799, http://dx.doi.org/10.1080/0020739X.2018.1507051

Tisdell C, 2019, 'On mnemonic instruction and the SHIELDS acronym in the pedagogy of first-order differential equations', Teaching Mathematics and its Applications: An International Journal of the IMA, 38, pp. 74 - 84, http://dx.doi.org/10.1093/teamat/hry001

Tisdell C; Shekhawat GS, 2019, 'An Applied e-Mentoring Model For Academic Development, Reflection And Growth', International Journal for the Scholarship of Teaching and Learning, 13, http://dx.doi.org/10.20429/ijsotl.2019.130206

Tisdell C, 2019, 'Tic-Tac-Toe and repeated integration by parts: alternative pedagogical perspectives to Lima's integral challenge', International Journal of Mathematical Education in Science and Technology, http://dx.doi.org/10.1080/0020739X.2019.1620969

Tisdell CC, 2019, 'Pedogogical perspectives on the method of Wilmer III and Costa for solving second-order differential equations', International Journal of Mathematical Education in Science and Technology, 50, pp. 629 - 635, http://dx.doi.org/10.1080/0020739X.2018.1480811

Ambikairajah A; Tisdell C, 2019, 'E-Examinations and the Student Experience Regarding Appropriateness of Assessment and Course Quality in Science and Medical Science', Journal of Educational Technology Systems, 47, pp. 460 - 478, http://dx.doi.org/10.1177/0047239518822016

Tisdell C, 2019, 'Schoenfeld’s problem-solving models viewed through the lens of exemplification', For the Learning of Mathematics, 39, pp. 24 - 26, https://flm-journal.org/

Li X; Liu Z; Li J; Tisdell C, 2019, 'EXISTENCE AND CONTROLLABILITY FOR NONLINEAR FRACTIONAL CONTROL SYSTEMS WITH DAMPING IN HILBERT SPACES', Acta Mathematica Sinica, 39B, pp. 229 - 242, http://dx.doi.org/10.1007/s10473-019-0118-5

Tisdell CC, 2019, 'Critical perspectives of the ‘new’ difference equation solution method of Rivera-Figueroa and Rivera-Rebolledo', International Journal of Mathematical Education in Science and Technology, 50, pp. 160 - 163, http://dx.doi.org/10.1080/0020739X.2018.1469796

Li X; Liu Z; Li J; Tisdell C, 2019, 'Existence and controllability for nonlinear fractional control systems with damping in hilbert spaces', Acta Mathematica Scientia, 39, pp. 229 - 242, http://dx.doi.org/10.1007/s10473-019-0118-5

Tisdell CC; Liu Y; Liu Z, 2019, 'Existence of solutions to discrete and continuous second-order boundary value problems via lyapunov functions and a priori bounds', Electronic Journal of Qualitative Theory of Differential Equations, 2019, http://dx.doi.org/10.14232/ejqtde.2019.1.42

Almuthaybiri SS; Tisdell CC, 2019, 'Global existence theory for fractional differential equations: New advances via continuation methods for contractive maps', Analysis (Germany), http://dx.doi.org/10.1515/anly-2019-0027

Tisdell C, 2018, 'Pedagogical alternatives for triple integrals: moving towards more inclusive and personalized learning', International Journal of Mathematical Education in Science and Technology, 49, pp. 792 - 801, http://dx.doi.org/10.1080/0020739X.2017.1408150

Tisdell C, 2018, 'Improved mathematical results and simplified pedagogical approaches for Gronwall's inequality for fractional calculus', Fractional Differential Calculus, 8, pp. 33 - 41, http://dx.doi.org/10.7153/fdc-2018-08-02

Palani M; Tisdell C; Usachev A, 2018, 'Qualitative results for solutions to nonlinear Caputo differential equations satisfying the Osgood condition', Fractional Differential Calculus, 8, pp. 33 - 41, http://dx.doi.org/10.7153/fdc-2018-08-09

Li X; Liu Z; Tisdell CC, 2017, 'Approximate controllability of fractional control systems with time delay using the sequence method', Electronic Journal of Differential Equations, 272, pp. 1 - 11, https://ejde.math.txstate.edu/

Tisdell CC; Meagher S, 2017, 'A simplified approach to Gronwall's inequality on time scales with applications to new bounds for solutions to linear dynamic equations', Electronic Journal of Differential Equations, 2017, pp. 1 - 13, https://ejde.math.txstate.edu/

Tisdell CC, 2017, 'A Discrete Approach to Continuous Second-Order Boundary Value Problems via Monotone Iterative Techniques', International Journal of Difference Equations, 12, pp. 145 - 160, http://campus.mst.edu/ijde/contents/v12n1p8.pdf

Tisdell CC, 2017, 'Alternate solution to generalized Bernoulli equations via an integrating factor: an exact differential equation approach', International Journal of Mathematical Education in Science and Technology, 48, pp. 913 - 918, http://dx.doi.org/10.1080/0020739X.2016.1272143

Li X; Liu Z; Tisdell CC, 2017, 'Existence and exact controllability of fractional evolution inclusions with damping', Mathematical Methods in the Applied Sciences, 40, pp. 4548 - 4559, http://dx.doi.org/10.1002/mma.4325

Tisdell CC, 2017, 'Critical perspectives of pedagogical approaches to reversing the order of integration in double integrals', International Journal of Mathematical Education in Science and Technology, 48, pp. 1285 - 1292, http://dx.doi.org/10.1080/0020739X.2017.1329559

Tisdell CC; Liu Z; macnamara S, 2017, 'Basic Existence and Uniqueness Results for Solutions to Systems of Nonlinear Fractional Differential Equations', Dynamics of Continuous, Discrete and Impulsive Systems - Series A: Mathematical Analysis, 24, pp. 181 - 193, http://online.watsci.org/contents2017/v24n3a.html

Tisdell CC, 2017, 'Rethinking pedagogy for second-order differential equations: a simplified approach to understanding well-posed problems', International Journal of Mathematical Education in Science and Technology, 48, pp. 794 - 801, http://dx.doi.org/10.1080/0020739X.2017.1285062

Tisdell CC; Sheng Q; Henderson J, 2017, 'Constructive existence results for solutions to systems of boundary value problems via general Lyapunov methods', Differential Equations and Applications, 9, pp. 57 - 68, http://dx.doi.org/10.7153/dea-09-05


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